Rework probiem 4 irom section 6.1 of youi text, involving the addition and subtraction of matrices. Use the matrices A and B below instead of those in your text. 6 3 -1 1 A = B = -4 -5 -8 (1) 2A B= A-4B = (2)

Q: Convince yourself that matrix addition is commutative and associative. Then explain.

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Q: 3 0 A = -1 3 -4 -1 1 2. AI = IA =

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Q: Count the number of operations involved in multiplying two n x n matrices.

A: Since n x n matrices using the standard matrix multiplication algorithm. Say you have two square…

Q: Let A and B be the following matrices: A B = 4 5 Find the sum A + B : = 2 -3 -3 4

A: Given the matrices A=2-3-34 and B=5145. We have to find the matrix A+B.

Q: Find the solution to the system of equations using Gaussian Elimination - 2y + z = 0 %3| y + 2z = 9…

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Q: -4

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Q: Explain the Elements of Matrix Algebra: Addition and Multiplication?

A: Matrix addition: The addition of two matrices is defined if and only if the order of both matrices…

Q: Find the inverse of the matrix:   2.     6     8     5     7

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Q: Determine whether or not ( ABC )T = C"B"AT for matrices: A, B, C

A: Given- ABCT=CTBTAT To Determine- Whether the above statement is correct or not for matrices A,B,C.…

Q: If A and B are nxn matrices .Find the cost of calculating A? + BAB.

A: Given A and B are n×n matrices.  To find the cost of A2 + BAB

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.