Let A be a 5 x 5 matrix with det(A) = -10. 1. If the matrix B is obtained from A by adding 4 times the third row to the second, then det (B) = 2. If the matrix C is obtained from A by swapping the second and third rows, then det (C)= 3. If the matrix D is obtained from A by multiplying the second row by 4, then det (D) =

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Q: If A is 4x4 matrix with det(A)=10, find det (24-¹A), det (A²).

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Q: Let A be the matrix Compute A50

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Q: Consider the matrix A = A. Verify that the matrix B: = I. 2 1 = = B. Use this fact to solve the…

A: AA-1= A-1A = I; where 'I' is the identity matrix.

Q: the matrIX A into a product QDQ" where Q is orthogonal and D is diagonal.

A: Given,          A=-5-1-1-1-3-1-1-1-3

Q: Ei) dim(COLA) is (ii) dim(ColA)- is (ii) dim(RowA) is (iv) dim(RowA)- is (v) dim(NulA) is

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Q: Write down the augmented matrix [A b] with an extra column:X + 2y + 2z = 14x+8y+9z = 33y + 2z =…

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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

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Q: An augmented matrix is given as- a11=2 a12=3 a13=4 b₁=9 a21=5 a22=-2 a23=2 b2=-1 a31-4 a32=6 a33=5…

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Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

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Q: If D = diag(2, -1, 0) and M is a 3 x 3 matrix, describe how the rows and/or columns of DM are…

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