Let A and B be nxn matrices. Determine whether the statement below is true or false. Justify the answer. det(A + B) = det A+ det B %3D Choose the correct answer below. O A. The statement is false. det(A + B) = (det A)(det B) 2 0 O B. The statement is true. If A = 3 0 and B = then det(A+B) = 0 and det A+ det B= 0. 1 0 50 O C. The statement is true. Determinants are linear transformations. 1 0 O D. The statement is false. If A = - 1 and B = then det(A + B) = 0 and det A+ det B = 2. 0 1 0-1

Q: Given matrices A and B shown below, find (-3)А + (-5)В.

A: Given,          A=045-4-3-1 , B=-5-5-4-4-54

Q: Perform the indicated operation, if possible. TH 0 01 4 5 9-7 8 -3 11 9 011 3 - 27 - 9 11 Select the…

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Q: Let A, B and C be n x n matrices. Then (2AT + BC)T 2A-CTBT O is equal to the above 2A + CTBT is…

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Q: Determine whether the matrices are inverses. -2 4 24 1/41/4 1/2 1/2

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Q: Find the​ inverse, if it​ exists, for the given matrix.   7 7 6 7

A: According to the given information it is required to calculate the inverse of the given matrix.

Q: Solve using Poisson Process, A small business receives, on average, 8 calls per hour. (a) What is…

A: Given that business receives on an average 8 calls per hour. The Poisson formula is given by:…

Q: Find the inverse of each matrix. 3 26) 0.

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Use the matrices below. Perform the indicated operation. 8 3 4 -1 6 1 6. -3 6. 6. A = B = 1 -9 -6 -5…

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Q: Let A and B be 2 × 2 matrices. The equation (A – B)(A+B) = A² – B² is correct. ... True False

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Q: Find the inverse of the given matrix.   A= -4 -3 1 -4

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Q: Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer.…

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Q: Given matrices A and B shown below, find (-8)A + (7)B. -1 -4 -3 A = 1 3 -1 -2 -2 1 -2 2 3 В — 1 -4 2

A: Multiply A by -8. A=-1-4-313-1-2-21(-8)A=-8-1-4-313-1-2-21(-8)A=83224-8-2481616-8

Q: Given A and B = 6 2 -2 -1 find AB.

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Q: Perform the matrix operation. 1 Given C = -3 and D= 2 OA. O C. -1 3 -2 -3 9 9 -6 -1 3 2 find C-2D.…

A: For given matrix C and D find C-2D.

Q: Find the transpose of each matrix.

A: To find transpose of a given matrix interchange its rows and columns  a. b.

Q: Let D and H be the following matrices. 9. D = 1 -3 -1 H = -3 Find the indicated quantity. D - H

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Q: ssume that you are given the two matrices A and B below. If the multiplication matrix is qual to C,…

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Q: Perform the matrix operation. Let C = O A. O C. 1 -3 and D= 2 - 3 9 -6 40 5 -6 4 1 3. Find C-4D. -2…

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Q: Check whether the two matrices are inverses of each other. -4 3.5] 3 -2.5 [5 7] and 6 8

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Q: Perform the matrix operation. Let A = °[4 4 -3] -16-4] O 0-31 [0-12] O [d [-2 2 -8-8 O -4 -3 0 -12]…

A: Given query is to perform indicated matrix operation.

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 are distributed horizontally in the form of rows, and vertically in the form of columns.