5 0] 3 7., |B| [4 6 -2] Given matrices: [A] 7 2 3, and {C} 2 =18 = 9 -2 9 1 3 -4 5 perform the following operations. (а) [A] + [В| — ? (b)[A] – [B] = ? (c) 3[A] = ? (d)[A|[B] = ? (e) [A]{C} = ? (f) Show that [I]|A] = [A][I] = [A|

Q: 21 Given the matrices, A = (2 -3) and B = -3 2 find the product AB? AB = (-4 - 3) AB = (-7 1) AB =…

A:

Q: For the given matrices A and B find each of the following. (a) A+ B, (b) B+ A, (c) A-B 4. 4 - 1 10 7…

A:

Q: Consider the following matrices: [1 2 3] 4; li 4 3] 3 2 1 [A] 1 [B] -4 1 3 -1. Find: b) 2[A] – 3[B]

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Q: Given the following matrices, please solve the questions beiow: A= : 1 51 36 1. [(D-E)(F) + A][B] 2.…

A: We solve the 1st and 2nd both part.

Q: 3) Find the inverse of the Matrix: A || -3 6 (39) 4

A:

Q: Diagonalize the matrices below, if possible: (a) [1 0 3 2 1 2 0 0 2] (b) [3 1 1 −4 −2 −5 2 2 5]

A: To Diagonalize the given matrices (a)[1   0  32  1   20  0  2]  (b)[3  1   1− 4 −2 −5 2  2  5]

Q: Consider A = −1 2 0 −7 5 −4 −3 −2 8  B = 13 −3 5 5 1 6 Use matrix multiplication to determine the…

A:

Q: a) Find the inverse of the square matrix B: [2-4 B = 3 -1 7 0

A: The inverse of the matrix is given below :

Q: Consider the following matrices: -(; ) -) -() 0. 1. -1 3 A В 1 -3 C = |3 4 2 1 2 2 -1 Perform each…

A: a A+B is not define because size of matrix A and B is not same  A is 2*2 and B is 3*2 matrix so...…

Q: Find the inverse of a 2x2 matrix B  B=[5−32−6]

A:

Q: A = 1 0 1 2 1 41-2 34 2 2 1 -1 2 21 -1. LO 10

A: The solution is given as

Q: Use the inverse matrices to find (AB)', (A')-², and (24)-', -[3}} -2 5 (a) (AB)-1 188 (b) (AT)-1 BS…

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Q: 1 (4) s What can be said about the 2 matrices based on your result (d)? -0.5 -1.5

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Q: adioint of the matrix.

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Q: For n × n matrices A and B , when does (A + B )(A − B ) = A 2 − B 2?

A: Commutative rule: The product of two matrix does not follow commutative rule: AB≠BA Given:…

Q: -81 45 8) Multiply using Matrices: (2x³ + 5x-1) * (x²-x²+x-2) 1.

A:

Q: [-3 10] 14 B = 10 [5 -2 17 -1] C = A =-5 2 D=[-11 8 -5] -8 3 -4 2 14 -6 -8

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Q: Perform the matrix operations.

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Q: - 4 8 3 2 Find the following matrices where A = 8 and B = 6 - 5 9 - 1 - 9 - 1 а. А + В b. А - В с. -…

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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: Simplify the following matrix expression: A(A-4B)+2B(A+B)-A²+7B²+3AB

A: Given matrix expression, AA-4B+2BA+B-A2+7B2+3AB. To solve the given matrix expression.

Q: Find the matrix product, if possible. 0 -2 32-2 -4 1 4 4 3 6 -9 7 -6 6 -6 0-6 -12 06-2 B) -4 3 11 A)…

A: Add the inner matrices first

Q: Find the matrix product AB, if it is defined. -13 A = = ^-[-22] -B- (-:22] I -16 -64 6-1 4-6 2-6 1…

A: Given query is to find the product of the matrix.

Q: Determine: 1 [1 -1 2] [2 3] +|0 1 -1

A: