College Algebra & Trigonometry - Standalone book
College Algebra & Trigonometry - Standalone book
1st Edition
ISBN: 9780078035623
Author: Julie Miller, Donna Gerken
Publisher: McGraw-Hill Education
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Matrices
‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…
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Chapter 10.4, Problem 52PE
To determine

The existence of an inverse matrix for a given 2×3 matrix.

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Perform the row operation indicated beside the matrix. 0 2 -3 5 2 -1 -3 R₁ R3 2-1 0 1 Upload a picture/scan of your solution. You must show all work and use correct notation in order to receive full credit. Please be sure that your solution is legible. When uploading an image, be sure to follow the guidelines for Uploading Images in Math 123.
Explain how to determine whether the inverse of a matrix exists. If so, explain how to find the inverse.
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Chapter 10 Solutions

College Algebra & Trigonometry - Standalone book

Ch. 10.1 - Solve the equation and check the solution....Ch. 10.1 - Prob. R.2PECh. 10.1 - Prob. R.3PECh. 10.1 - Prob. R.4PECh. 10.1 - Prob. 1PECh. 10.1 - Prob. 2PECh. 10.1 - Explain the meaning of the notation R2R3.Ch. 10.1 - Prob. 4PECh. 10.1 - Prob. 5PECh. 10.1 - Prob. 6PE
Ch. 10.1 - Prob. 7PECh. 10.1 - Explain the meaning of the notation 4R2+R3R3.Ch. 10.1 - Prob. 9PECh. 10.1 - Prob. 10PECh. 10.1 - For Exercises 9-14, write the augmented matrix for...Ch. 10.1 - Prob. 12PECh. 10.1 - Prob. 13PECh. 10.1 - Prob. 14PECh. 10.1 - Prob. 15PECh. 10.1 - Prob. 16PECh. 10.1 - For Exercises 15-20, write a system of linear...Ch. 10.1 - Prob. 18PECh. 10.1 - Prob. 19PECh. 10.1 - Prob. 20PECh. 10.1 - Prob. 21PECh. 10.1 - Prob. 22PECh. 10.1 - For Exercises 21-26, perform the elementary row...Ch. 10.1 - Prob. 24PECh. 10.1 - Prob. 25PECh. 10.1 - Prob. 26PECh. 10.1 - Prob. 27PECh. 10.1 - Prob. 28PECh. 10.1 - Prob. 29PECh. 10.1 - Prob. 30PECh. 10.1 - Prob. 31PECh. 10.1 - Prob. 32PECh. 10.1 - Prob. 33PECh. 10.1 - Prob. 34PECh. 10.1 - For Exercises 33-36, determine if the matrix is in...Ch. 10.1 - Prob. 36PECh. 10.1 - Prob. 37PECh. 10.1 - Prob. 38PECh. 10.1 - Prob. 39PECh. 10.1 - Prob. 40PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 42PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 44PECh. 10.1 - Prob. 45PECh. 10.1 - Prob. 46PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 48PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 50PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 52PECh. 10.1 - Prob. 53PECh. 10.1 - Prob. 54PECh. 10.1 - Prob. 55PECh. 10.1 - Prob. 56PECh. 10.1 - Prob. 57PECh. 10.1 - Prob. 58PECh. 10.1 - Prob. 59PECh. 10.1 - Prob. 60PECh. 10.1 - Prob. 61PECh. 10.1 - Prob. 62PECh. 10.1 - For Exercises 61-64, set up a system of linear...Ch. 10.1 - Prob. 64PECh. 10.1 - Prob. 65PECh. 10.1 - Prob. 66PECh. 10.1 - Prob. 67PECh. 10.1 - Prob. 68PECh. 10.1 - Prob. 69PECh. 10.1 - Prob. 70PECh. 10.1 - Prob. 71PECh. 10.1 - Prob. 72PECh. 10.1 - Prob. 73PECh. 10.1 - Prob. 74PECh. 10.1 - Prob. 75PECh. 10.1 - Prob. 76PECh. 10.2 - Prob. R.1PECh. 10.2 - Prob. R.2PECh. 10.2 - Prob. R.3PECh. 10.2 - Prob. R.4PECh. 10.2 - Prob. 1PECh. 10.2 - Prob. 2PECh. 10.2 - Prob. 3PECh. 10.2 - Prob. 4PECh. 10.2 - Prob. 5PECh. 10.2 - Prob. 6PECh. 10.2 - Prob. 7PECh. 10.2 - Prob. 8PECh. 10.2 - Prob. 9PECh. 10.2 - Prob. 10PECh. 10.2 - Prob. 11PECh. 10.2 - Prob. 12PECh. 10.2 - Prob. 13PECh. 10.2 - Prob. 14PECh. 10.2 - Prob. 15PECh. 10.2 - Prob. 16PECh. 10.2 - Prob. 17PECh. 10.2 - Prob. 18PECh. 10.2 - Prob. 19PECh. 10.2 - Prob. 20PECh. 10.2 - Prob. 21PECh. 10.2 - Prob. 22PECh. 10.2 - Prob. 23PECh. 10.2 - Prob. 24PECh. 10.2 - For Exercises 19-38, solve the system by using...Ch. 10.2 - For Exercises 19-38, solve the system by using...Ch. 10.2 - Prob. 27PECh. 10.2 - Prob. 28PECh. 10.2 - Prob. 29PECh. 10.2 - Prob. 30PECh. 10.2 - For Exercises 19-38, solve the system by using...Ch. 10.2 - Prob. 32PECh. 10.2 - Prob. 33PECh. 10.2 - Prob. 34PECh. 10.2 - Prob. 35PECh. 10.2 - Prob. 36PECh. 10.2 - Prob. 37PECh. 10.2 - Prob. 38PECh. 10.2 - Prob. 39PECh. 10.2 - Prob. 40PECh. 10.2 - Prob. 41PECh. 10.2 - Prob. 42PECh. 10.2 - Prob. 43PECh. 10.2 - Prob. 44PECh. 10.2 - Prob. 45PECh. 10.2 - Prob. 46PECh. 10.2 - Prob. 47PECh. 10.2 - Prob. 48PECh. 10.2 - Prob. 49PECh. 10.2 - A concession stand at a city park sells...Ch. 10.2 - Prob. 51PECh. 10.2 - Prob. 52PECh. 10.2 - Prob. 53PECh. 10.2 - Prob. 54PECh. 10.2 - Prob. 55PECh. 10.2 - Prob. 56PECh. 10.2 - Prob. 57PECh. 10.2 - Prob. 58PECh. 10.2 - Prob. 59PECh. 10.2 - Prob. 60PECh. 10.2 - Prob. 61PECh. 10.2 - Prob. 62PECh. 10.2 - Prob. 63PECh. 10.2 - Prob. 64PECh. 10.2 - Prob. 65PECh. 10.2 - Prob. 66PECh. 10.3 - Identify the additive inverse of 9.Ch. 10.3 - Prob. R.2PECh. 10.3 - Prob. R.3PECh. 10.3 - Prob. 1PECh. 10.3 - A matrix with the same number of rows and columns...Ch. 10.3 - What are the requirements for two matrices to be...Ch. 10.3 - An mn matrix whose elements are all zero is called...Ch. 10.3 - Prob. 5PECh. 10.3 - Prob. 6PECh. 10.3 - True or false: Matrix multiplication is a...Ch. 10.3 - Prob. 8PECh. 10.3 - Prob. 9PECh. 10.3 - Prob. 10PECh. 10.3 - For Exercises 11-16, Give the order of the matrix....Ch. 10.3 - Prob. 12PECh. 10.3 - Prob. 13PECh. 10.3 - Prob. 14PECh. 10.3 - Prob. 15PECh. 10.3 - Prob. 16PECh. 10.3 - Prob. 17PECh. 10.3 - Prob. 18PECh. 10.3 - Prob. 19PECh. 10.3 - Prob. 20PECh. 10.3 - Prob. 21PECh. 10.3 - Prob. 22PECh. 10.3 - Given A=[2xz-5] and B=[y410-5], for what values of...Ch. 10.3 - Prob. 24PECh. 10.3 - Given B=[4693567], find the additive inverse of B.Ch. 10.3 - Prob. 26PECh. 10.3 - For Exercises 27-32, add or subtract the given...Ch. 10.3 - Prob. 28PECh. 10.3 - For Exercises 27-32, add or subtract the given...Ch. 10.3 - Prob. 30PECh. 10.3 - For Exercises 27-32, add or subtract the given...Ch. 10.3 - Prob. 32PECh. 10.3 - Prob. 33PECh. 10.3 - Prob. 34PECh. 10.3 - For Exercises 35-42, use A=[24-91312] and...Ch. 10.3 - Prob. 36PECh. 10.3 - For Exercises 35-42, use A=[24-91312] and...Ch. 10.3 - Prob. 38PECh. 10.3 - For Exercises 35-42, use A=[24-91312] and...Ch. 10.3 - Prob. 40PECh. 10.3 - Prob. 41PECh. 10.3 - Prob. 42PECh. 10.3 - Prob. 43PECh. 10.3 - Prob. 44PECh. 10.3 - Prob. 45PECh. 10.3 - Prob. 46PECh. 10.3 - Prob. 47PECh. 10.3 - Prob. 48PECh. 10.3 - Prob. 49PECh. 10.3 - Prob. 50PECh. 10.3 - Given that E is a 51 matrix arid F is a 15 matrix,...Ch. 10.3 - Prob. 52PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 54PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 56PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 58PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 65PECh. 10.3 - Prob. 66PECh. 10.3 - Prob. 67PECh. 10.3 - Prob. 68PECh. 10.3 - Prob. 69PECh. 10.3 - In matrix C, a coffee shop records the cost to...Ch. 10.3 - A street vendor at a parade sells fresh lemonade,...Ch. 10.3 - Prob. 72PECh. 10.3 - Prob. 73PECh. 10.3 - Prob. 74PECh. 10.3 - The labor costs per hour for an electrician,...Ch. 10.3 - Prob. 76PECh. 10.3 - Prob. 77PECh. 10.3 - Prob. 78PECh. 10.3 - a. Write a matrix A that represents the...Ch. 10.3 - a. Write a matrix A that represents the...Ch. 10.3 - a. Write a matrix A that represents the...Ch. 10.3 - Prob. 82PECh. 10.3 - Prob. 83PECh. 10.3 - Prob. 84PECh. 10.3 - For Exercises 85-86, use the following gray scale....Ch. 10.3 - Prob. 86PECh. 10.3 - Prob. 87PECh. 10.3 - Prob. 88PECh. 10.3 - Prob. 89PECh. 10.3 - Prob. 90PECh. 10.3 - Prob. 91PECh. 10.3 - Prob. 92PECh. 10.3 - Prob. 93PECh. 10.3 - Prob. 94PECh. 10.3 - Prob. 95PECh. 10.3 - Prob. 96PECh. 10.3 - Prob. 97PECh. 10.3 - Prob. 98PECh. 10.3 - Prob. 99PECh. 10.3 - Prob. 100PECh. 10.3 - Prob. 101PECh. 10.3 - Prob. 102PECh. 10.3 - Prob. 103PECh. 10.3 - Prob. 104PECh. 10.4 - Prob. R.1PECh. 10.4 - Prob. R.2PECh. 10.4 - Prob. R.3PECh. 10.4 - Prob. R.4PECh. 10.4 - Prob. 1PECh. 10.4 - Prob. 2PECh. 10.4 - Prob. 3PECh. 10.4 - A matrix that does not have an inverse is called a...Ch. 10.4 - Prob. 5PECh. 10.4 - Prob. 6PECh. 10.4 - Prob. 7PECh. 10.4 - Prob. 8PECh. 10.4 - Prob. 9PECh. 10.4 - Prob. 10PECh. 10.4 - Prob. 11PECh. 10.4 - Prob. 12PECh. 10.4 - Prob. 13PECh. 10.4 - Prob. 14PECh. 10.4 - Prob. 15PECh. 10.4 - Prob. 16PECh. 10.4 - Prob. 17PECh. 10.4 - Prob. 18PECh. 10.4 - Prob. 19PECh. 10.4 - Prob. 20PECh. 10.4 - Prob. 21PECh. 10.4 - Prob. 22PECh. 10.4 - Prob. 23PECh. 10.4 - Prob. 24PECh. 10.4 - Prob. 25PECh. 10.4 - Prob. 26PECh. 10.4 - Prob. 27PECh. 10.4 - Prob. 28PECh. 10.4 - Prob. 29PECh. 10.4 - Prob. 30PECh. 10.4 - For Exercises 19-34, determine the inverse of the...Ch. 10.4 - Prob. 32PECh. 10.4 - Prob. 33PECh. 10.4 - Prob. 34PECh. 10.4 - Prob. 35PECh. 10.4 - Prob. 36PECh. 10.4 - Prob. 37PECh. 10.4 - Prob. 38PECh. 10.4 - Prob. 39PECh. 10.4 - Prob. 40PECh. 10.4 - Prob. 41PECh. 10.4 - Prob. 42PECh. 10.4 - Prob. 43PECh. 10.4 - Prob. 44PECh. 10.4 - Prob. 45PECh. 10.4 - Prob. 46PECh. 10.4 - Prob. 47PECh. 10.4 - Prob. 48PECh. 10.4 - For Exercises 39-50, solve the system by using the...Ch. 10.4 - For Exercises 39-50, solve the system by using the...Ch. 10.4 - Prob. 51PECh. 10.4 - Prob. 52PECh. 10.4 - Prob. 53PECh. 10.4 - Prob. 54PECh. 10.4 - Prob. 55PECh. 10.4 - Prob. 56PECh. 10.4 - Prob. 57PECh. 10.4 - Prob. 58PECh. 10.4 - Prob. 59PECh. 10.4 - Prob. 60PECh. 10.4 - Prob. 61PECh. 10.4 - Prob. 62PECh. 10.4 - Prob. 63PECh. 10.4 - Prob. 64PECh. 10.4 - Prob. 65PECh. 10.4 - Prob. 66PECh. 10.4 - Prob. 67PECh. 10.4 - Prob. 68PECh. 10.4 - Prob. 69PECh. 10.4 - Prob. 70PECh. 10.4 - Prob. 71PECh. 10.4 - For Exercises 72-73, use a graphing calculator and...Ch. 10.4 - Prob. 73PECh. 10.5 - For Exercises R1-R.2, simplify the exponential...Ch. 10.5 - Prob. R.2PECh. 10.5 - Prob. R.3PECh. 10.5 - Prob. 1PECh. 10.5 - Prob. 2PECh. 10.5 - Prob. 3PECh. 10.5 - Prob. 4PECh. 10.5 - Prob. 5PECh. 10.5 - Prob. 6PECh. 10.5 - For Exercises 7-16, evaluate the determinant of...Ch. 10.5 - Prob. 8PECh. 10.5 - Prob. 9PECh. 10.5 - Prob. 10PECh. 10.5 - For Exercises 7-16, evaluate the determinant of...Ch. 10.5 - Prob. 12PECh. 10.5 - Prob. 13PECh. 10.5 - Prob. 14PECh. 10.5 - Prob. 15PECh. 10.5 - Prob. 16PECh. 10.5 - Prob. 17PECh. 10.5 - Prob. 18PECh. 10.5 - Prob. 19PECh. 10.5 - Prob. 20PECh. 10.5 - Prob. 21PECh. 10.5 - Prob. 22PECh. 10.5 - Prob. 23PECh. 10.5 - Prob. 24PECh. 10.5 - Prob. 25PECh. 10.5 - Prob. 26PECh. 10.5 - Prob. 27PECh. 10.5 - Prob. 28PECh. 10.5 - Prob. 29PECh. 10.5 - Prob. 30PECh. 10.5 - Prob. 31PECh. 10.5 - Prob. 32PECh. 10.5 - For Exercises 33-48, solve the system if possible...Ch. 10.5 - Prob. 34PECh. 10.5 - For Exercises 33-48, solve the system if possible...Ch. 10.5 - Prob. 36PECh. 10.5 - Prob. 37PECh. 10.5 - Prob. 38PECh. 10.5 - For Exercises 33-48, solve the system if possible...Ch. 10.5 - Prob. 40PECh. 10.5 - Prob. 41PECh. 10.5 - Prob. 42PECh. 10.5 - Prob. 43PECh. 10.5 - Prob. 44PECh. 10.5 - Prob. 45PECh. 10.5 - Prob. 46PECh. 10.5 - Prob. 47PECh. 10.5 - Prob. 48PECh. 10.5 - Prob. 49PECh. 10.5 - Prob. 50PECh. 10.5 - Prob. 51PECh. 10.5 - Prob. 52PECh. 10.5 - Prob. 53PECh. 10.5 - Prob. 54PECh. 10.5 - Prob. 55PECh. 10.5 - Prob. 56PECh. 10.5 - Prob. 57PECh. 10.5 - Prob. 58PECh. 10.5 - Prob. 59PECh. 10.5 - Given a square matrix A, elementary row operations...Ch. 10.5 - Prob. 61PECh. 10.5 - Prob. 62PECh. 10.5 - Prob. 63PECh. 10.5 - Prob. 64PECh. 10.5 - Prob. 65PECh. 10.5 - Prob. 66PECh. 10.5 - Prob. 67PECh. 10.5 - Prob. 68PECh. 10.5 - Prob. 69PECh. 10.5 - Prob. 70PECh. 10.5 - Prob. 71PECh. 10.5 - Prob. 72PECh. 10.5 - Prob. 73PECh. 10.5 - Prob. 74PECh. 10.5 - Prob. 75PECh. 10.5 - Prob. 76PECh. 10.5 - Prob. 77PECh. 10.5 - Prob. 78PECh. 10.5 - Prob. 79PECh. 10.5 - Prob. 80PECh. 10.5 - Prob. 81PECh. 10.5 - Prob. 82PECh. 10 - For Exercises 1-4, solve the system of equations...Ch. 10 - For Exercises 1-4, solve the system of equations...Ch. 10 - For Exercises 1-4, solve the system of equations...Ch. 10 - Prob. 4PRECh. 10 - For Exercises 5-8, Evaluate the determinant of the...Ch. 10 - Prob. 6PRECh. 10 - For Exercises 5-8, Evaluate the determinant of the...Ch. 10 - For Exercises 5-8, Evaluate the determinant of the...Ch. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 57RECh. 10 - Prob. 58RECh. 10 - Prob. 59RECh. 10 - Prob. 60RECh. 10 - Prob. 61RECh. 10 - Prob. 62RECh. 10 - Prob. 63RECh. 10 - Prob. 64RECh. 10 - Prob. 65RECh. 10 - Prob. 66RECh. 10 - Prob. 67RECh. 10 - Prob. 68RECh. 10 - Prob. 69RECh. 10 - Prob. 70RECh. 10 - Prob. 71RECh. 10 - Prob. 72RECh. 10 - Prob. 73RECh. 10 - Prob. 74RECh. 10 - Prob. 75RECh. 10 - Prob. 76RECh. 10 - Prob. 77RECh. 10 - Prob. 78RECh. 10 - Prob. 1TCh. 10 - Prob. 2TCh. 10 - Prob. 3TCh. 10 - Prob. 4TCh. 10 - Prob. 5TCh. 10 - Prob. 6TCh. 10 - Prob. 7TCh. 10 - Prob. 8TCh. 10 - Prob. 9TCh. 10 - Prob. 10TCh. 10 - Prob. 11TCh. 10 - Prob. 12TCh. 10 - For Exercises 13-16, solve the system by using...Ch. 10 - Prob. 14TCh. 10 - Prob. 15TCh. 10 - Prob. 16TCh. 10 - Prob. 17TCh. 10 - Prob. 18TCh. 10 - Prob. 19TCh. 10 - Prob. 20TCh. 10 - Prob. 21TCh. 10 - Prob. 22TCh. 10 - Prob. 23TCh. 10 - Prob. 24TCh. 10 - Prob. 25TCh. 10 - Prob. 26TCh. 10 - Prob. 27TCh. 10 - Prob. 28TCh. 10 - Prob. 29TCh. 10 - Prob. 30TCh. 10 - Prob. 31TCh. 10 - Prob. 32TCh. 10 - Prob. 1CRECh. 10 - Prob. 2CRECh. 10 - Prob. 3CRECh. 10 - Prob. 4CRECh. 10 - Prob. 5CRECh. 10 - Prob. 6CRECh. 10 - Prob. 7CRECh. 10 - Prob. 8CRECh. 10 - Prob. 9CRECh. 10 - Prob. 10CRECh. 10 - Prob. 11CRECh. 10 - Prob. 12CRECh. 10 - Prob. 13CRECh. 10 - Prob. 14CRECh. 10 - Prob. 15CRECh. 10 - Prob. 16CRECh. 10 - Prob. 17CRECh. 10 - Prob. 18CRECh. 10 - Prob. 19CRECh. 10 - Prob. 20CRECh. 10 - Prob. 21CRECh. 10 - Prob. 22CRECh. 10 - Prob. 23CRECh. 10 - Prob. 24CRECh. 10 - Prob. 25CRECh. 10 - Prob. 26CRECh. 10 - Prob. 27CRECh. 10 - Prob. 28CRECh. 10 - Prob. 29CRECh. 10 - Prob. 30CRE
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