What is the rank of each of the matrices below? (a) 1 0 1 0 0 6 010 (b) (c) (d) Д 90 10 0 1 -1 7 00 00 (e) [106 -7 0 000 00 018 01 (9) 0 1 60 0001 (h) 000 000 000 (f) 001 010 100 26 100 0 1 1 001 2 1 6 8 0 0 1 -1 000 6 000 0

Q: Example 5: Find the rank of the following matrices: 1. -2 -4 4 A = 6 -6 -4 -2 -4 4 9 2. A = [1 2 5]…

A: To find The rank of the given matrices.

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

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

Q: Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. 1 0 -1 4 0 5 0 1 A =…

A: Given that :- A=50113-1101 , B=10-1401010 find AB,detA,detB,detAB,detA+B

Q: 3) Consider the following matrix: A= 220 001 0 10 - 1 1 (i) Compute A™ ¹. (ii) Write A as a product…

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Q: Consider the following matrices. -1 3 A = 5 2 8 -: 9 2 B = 4 1 Verify that det(A) det(B) = det(AB).…

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Q: Find the rank of each of the following matrices: 1 3 -2 5 4 1 2 -3 1 2 1 3 (b) 3 8 -7 1 4 1 3 5 -2 4…

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Q: Find the rank of the following matrices: 1 2 3 2 3 1 2 4 6 2 4 rank(A)= 1 2 4 2 3 6 3 1 2 4 2 4…

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Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

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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: (24)*. Use the inverse matrices to find АВ and 1 3 1 4 2. 4 2 1 A-1 = B-1 = 2. 2 2 4 1 -2 2 4 -1 (a)…

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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: 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: 1. Multiply the following matrices; if you can't multiply the matrices, then explain why. 2 -3 1 1 3…

A: This question is related to matrix multiplication, we will solve it using given information.

Q: Which of the following matrices are diagonalizable?

A: We know if the all eigenvalues of a matrix are distinct and equal  to order of the matrix .then…

Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 90 06 0 00-12 060 − 1 1 − 1| -1 0 1 1 10 1…

A: Given matrix 11357-5-7-1-17

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det[(-3)A]? O 27 81 -9…

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Q: Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. A = AB = det(A) det…

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Q: 3. The following matrices are elementary matrices except (a) 1 0 1 0 (b) 5 1 (3 (c) 1 (d) -3 -

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Q: Find the area of the triangle with the points A(1, 1,5), B(3, 4,3), and C(1,5, 7) by using the cross…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

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: 1. For the given matrices A find A-¹ if it exists and verify that AA-¹ = A-¹A=I. If A-¹ does not…

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Q: 2. For the given matrices A find A-¹ if it exists and verify that AA-¹ = A-¹A=I. If A-¹ does not…

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Q: Find an LU 5 -5 -10 25 -13 -13-8 factorization of the following matrices: -3 0 5 -6 9 -5 (a) 3 -1 2…

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Q: Q4. (A)_ If a-12 4 68 10; 31415; 24 6 8 10; 1 234 5; 4790 61. find the sub matrices with explain it.…

A: Remark:  Let a be an m*n matrix, then a(:, p) gives  sub-matrix of order m*1 with elements of p-th…

Q: Use the inverse matrices to find (AB)¯¹, (A7)¯¹, and (24)¯¹. 1 1 1 2 2 1 3 1 244 A-1 = (a) -2 1 3 2…

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Q: Determine the ranks of the following matrices. 2 1 4 -2 0-1 52 7 (a) (b) (c) 12 -1 -1 3 1 05 0 23 -2…

A: We have to determine the rank of the given matrices.