1. Calculate if possible: 1(1 4 -1)(1 4 -1 (e) (; (a) 4 + 2 1 (b) 0 -3 | 5 -8 6 0 5 -3 1 3 7 2 3 (d) 4 1 2 What can be said about the 2 matrices based on your result (d)? [8] -2 )-0.5 -1.5 n oO 204

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…

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Q: (iii) 12 2 3 1 2 3 6:9-69-GD-6) 3 3 3 11 1 1 0 00 1 2 3 4 5 7 8 1 2 3 0 -1 -2 0 0 0 The rank is 2.

A: To determine the row operations performed on these matrices.…

Q: Suppose A, B and C are 2 x 2 matrices such that det(A) = -7, det(B) = -5 and det(C) = 4. %3D %3D…

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Q: 4]         [8   7]      [7   2]             +               - [-4  6]         [8   8]      [3   4]…

A: Given expression is: 14−46+8788−7234

Q: 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…

A: Hello, thank you for the question. Since we only answer up to 3 sub-parts, we’ll answer the first 3.…

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: 1. Consider the following matrices: (b) [2 0 1 -2 ------# C= 1 3 D= 3 2 0 -1 -1 (c) A = 53 Evaluate,…

A: Consider the following matrices.To evaluate the following:

Q: c - [7 ) »» - [: #]--- 6 ve D for matrices 6 2 (C – D).(C + D) Which of the following is the result…

A: Answer is mentioned below

Q: 3. Add the following matrices. [5 -2] [-8-41 3-4 +11 L5 7 6 10 -7]

A: Given query is to add the matrix.

Q: )B. 1 4 A = 1 5 -2 -2 -1 5 B = 1 -4 0

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Q: (a) Consider the following two 2 × 2 matrices: A=( 1   2)       and  B=(2   0)     (2    3)…

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Q: If A and B are n x n matrices and if det(A) , det(B) 2, then det (-3A-1B) is (A) (-1)"2"-215 (B)…

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Q: 3. Given the matrices: (a) Find A-1 (b) Find B-1 (c) Find (AT)-1 A B = 11 1 3 -2 2 -3 2 2 7 9 -4 -7

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Q: (3)(-3)-(-²9(2) 1 4 6

A: We want to solve 2-314-25 - -16-23-72

Q: Q: If 5 6 2 4 0 328 -7 9 -2 5 -6 8 0 7 b:= 9 5 6-5 a = 37 8 1 -6 1 4 7 2 14 3 Find 1- Inverse of…

A: Given matrix is a=5624−79−253781−6147 and b=0328−6807956−52143. 1 We have to find the inverse of…

Q: Consider the following matrices. A = , B = , C = Evaluate each of the following expressions, if…

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Q: Given the following matrices, Find |B| 5 0 A= 2 9 2 -3 -2 1 RA 5 -2 B =

A: Matrix :

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A" A-1)?

A: Given that A,B and C are 3*3 matrices. To find det(A^TA^-1)

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: Given the following matrices, determine A(B+C) [3 A = 3 | B = -61 [4 3 L3 [2 4 -1

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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: HW2: Use Householder method to convert the following matrices to tri-diagonal form 321 (a) 232, (b)…

A: We have to convert the matrix to tri-diagonal matrix using Householder method

Q: 4 1 A = -1 1 and B = -1 4 4 8 10 (c) Use the definition of matrix multiplication given in Beezer…

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Q: Calculate whether the given matrices are diagonalizable or not. That is, for each matrix, calculate…

A: We will use the fact if the eugen values of a matrix are distinct then the matrix is diagonalizable.

Q: Show that if A and B are sets, then P(A) u P(B) c P(A u B), where P(A) denotes the power set of A

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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: (b) For matrices A = compute following (i) AB and BA -1 -2 1 " B = [ 3² 3], 0 = [-2² 1²/2 41-²-3 and…

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Q: 2. The probability in minutes of being waited on in a large chain restaurant is given by the…

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