Г1-21Let A131.-85a. Verify that A-1-3-1b. Write the following system of equations as a matrix equation.-2y+z1+2z2у +323c. Use the result from part (a) to solve the previous system of equations.d. Check your solution to part (c).

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Answered: Let A 1 2 3 1 -8 5 a. Verify that A¬1…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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When writing the following linear system of equations in the matrix form Ax = b -5x1 + 2x2 = -4 -2x₁ - 5x2 = −1 a. What is the matrix A?
I. Consider the following linear system: 3x1 + 9x2 + 3x3 = 6 2x1 — 2х1 — 4x2 X3 = 12 = -8 We can view this system as a matrix equation: 3 9 31 0 -1 2 12 -2 -4 Which has the form: Ax X = B To solve the original system, we can solve this equation for X by multiplying by A-1: A-1x (A x X) = A-! × B (A-1 × A) × X = A-1 × B Iz x X = A-1 × B X = A-1 x B Use the bottom equation to solve for X. Find A-1 for the matrix A and solve the original system by using A-1 and Bin the (1) equation below. X = A-1 x B (2] Use the matrix A² you just found to solve the system: 3x1 + 9x2 + 3x3 = 12 2x1 -2x1 – 4x2 X3 = 9 = -3
3. Let A= a. 2 3 5 4 Find A¹ using the formula for the inverse of a 2x2 matrix. b. Write the following system of equations as a matrix equation of the form AX-B. Then solve the system using A-1¹. 2x+3y=-9 5x+4y=-5
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What volume of each of a 5% acid solution and a 65% acid solution should be combined to form 46 ml of a 50% solution? Set up the appropriate equations and solve the system using the inverse of the coefficient matrix. Combine O ml of the 5% acid solution withO mL of the 65% acid solution to form 46 mL of a 50% solution. (Type integers or decimals. Round the final answers to two decimal places as needed. Round all intermediate values to two decimal places as needed.)

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Let A 1 2 3 1 -8 5 a. Verify that A¬1 -3 2 2 -1 b. Write the following system of equations as a matrix equation. -2y +z 1 y +2z 2y +3z 3 c. Use the result from part (a) to solve the previous system of equations.