le.com/forms/d/e/1FAlpQLSd2f_YgEZ5q13unU1ikRqQftbHOMXehPhfo0HPys9TZm-g/formResponse Let A = B = , and C = If C+X-1 = AB then X = 10 10 4. 4 the above matrix the above matrix 4 3 13 26 13 13 112

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Q: Matrix  A = a11 a12 a21 a22 a31 a32 B =  b1 b2 C = c1 c2 c3     Find C*A. Find C*B.

A: The product of matrices is given as follows

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A: 21-13A =4213Now we have to find the inverse of the matrix 21-13

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A: See the detailed solution below.

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A: To determine the adjacency matrix of the given digraph.

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Q: 1 1 1 0100 0120 00 0 Let A = Write A as C DC , where D is a diagonal matrix. Hint: You can always…

A: Given : matrix A=1110010001200000 We have to write A as CDC-1, where D is a diagonal matrix.

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A: Matrix multiplication is possible if we have two matrices A and B such that, order of A =m×n;order…

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Q: Find the transpose of the matrix. 1 4 62 4 98 3 6 8 9 0 2 3 08

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Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

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Q: (-1 7 -5 7. Let A = -4 11 -6). Diagonalize A if possible or explain why the matrix A is not -4 8 -3.…

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Q: find A³. Write A³ as input your answer below: all = 912 = Given the matrix 921 = 922 = ^=[83]. A A³…

A: The given matrix .The objective is to find the matrix .

Q: = [₁ Construct a 2 x 2 matrix B such that - AB is the zero matrix. Use two different nonzero columns…

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Q: 5 k A = -9 -1 have one real eigenvalue of multiplicity 2? k = 2/9

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Q: Diagonalize the following matrix, and then find A¹0. A = 1 6 0 -

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Q: (e) The null space of the matrix 12 1 3 24 8 A = 0 0 0 3 6 12 1 2 4

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Q: Write down the quadratic form that corresponds to the following 4 -1 -3 -3 1 324

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Q: 3. Find the indicated matrix. 13 04 =[28] and B = [96] 26 -16 Let A et A = Find 3A + B.

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Q: Find the rank of the matrix for n = 2, 3, and 4. Can you find a pattern in these ranks?

A: Given, the matrix                  We have to find the rank for n = 2, 3, and 4. Also, find a…