Given the following matrix below, find matrix C such that A + 2B = C 2 -31 [3 -1 21 A= 5 0 2 & B= 4 2 5 .1 -1 1 2 3

Q: 2) Perform the following operations on matrices. 9-5 4 (a) 7 3-6 1-5 4 4 3 8 7 -2 -1 9 62 (b)

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Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: Find the transpose of the Attached matrices

A: Transpose of a matrix is obtained by interchanging the rows into columns and columns into rows.

Q: 1 12+10 -40 j -3j-5 2 - 2 - 7 - 1 2j 4j + 2 4 X - 10 13 -5 18 -9 -15 -5 -5-j 10-2j

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Q: 1. Consider the matrices A = G ), B = (,) and C= (-1 0 5) (a) Evaluate (AB)C and A(BC). Check that…

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Q: 5 0 0 0 A = 1 4 -3 -1 -2 0 -3

A: A IS DIAGONALIZABLE.

Q: 3 0 A =|-3 7] 1 -1 2 4 91

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Q: D = 3 1 5 0 -4 5 -2 -4 3

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Q: Find the Inverse of Matrix A 6) -3 20 11 A = -6 15 32 3 -12 -19 A = %3D

A: Given A=-32011-615323-12-19

Q: Find a non -2ERO 2x2 matRix A ouch +hat A2 = A=

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Q: Diagonalize the following matrices a) (0 0 1 2 -2 A : 1 1 0 3 b) 3 2 A -2 -2 -2 1 2 2

A: We find the eigenvalues and corresponding eigenvectors of the given matrix to diagonalize it.

Q: 2. Calculate the following matrix products: 1 -1 -1 3. A.

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Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

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Q: 32x+y -1 526 -1 x+4y 10

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Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: use the following matrix                    D=   [5  3]         D=  [4   6]  write the negative…

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Q: 0 -1 -2 Put the following matrix into RREF: 1 1 2 -1

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Q: a- B-2 3] and Given matrices Find CAB 3

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Q: Find the matrix A if 4 1     −1 3A =  3 4     1 2. A =

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Q: 1 0 2 -2 3 1 3X +|2 1 3 -1 -2 0 4 -1 5 1 5 II

A: The given equation is,

Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Consider the matrices A, B, C. 1 4 2 --1 3 3 -1 3 A =|3 0 1 B = C = 2 6 8 0 5 6 -1 5 7 2 a. Find the…

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Q: Find a non-zero 2 x 2 matrix such that Note: 4890 -7 -67 28 24 =

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Q: Give the size of the following matrix 1. 1 1 1 5 2X2 1X3 B 3X3 2X3 2X1 D 3X2 H. Otherwise

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

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Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: Multiply matrix A with matrix B as BA if it is given that: 1 2 -1y 2 2 1 -2 2 -1 and B =| A = 3 1 -1…

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Q: Find the following matrix product. Be careful to distinguish 2 x 2 matrices in the answers from 2 x…

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