Let [1 2 [1 A = 2 41 1 3 and B = |2 1 [2 2 6] 2 4] 3 [1 2] Find the elementary matrix, E such that EA = B.

Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: Find the 2, 3-cofactor of the matrix 1 2 0 0 2 1 -1 7 -3 0 0 0 7 1 0

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Q: t matrix B= 5-21 4-2 what is The 2. 3. 1-12 -12 reduced Yow echelon form of 6 B.

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Q: 4x+5y+4z = 8 3x+3y+ z =-9 5x+5y+2z = -1 Write the augmented matrix:

A: For a system of equations is a matrix of numbers in which each row represents the constants from one…

Q: 3. Diagonalize the matrix: 1 1 0 1 0 1 1 1 1

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Q: Express the matrix A = as the product of elementary matrices. 1 2 2 10 2 31

A: Elementary square matrix :- A square matrix of order n is said to be an elementary square matrix if…

Q: -5 4] -5 2 1 ||

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Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: -() --()-() 3 6 3 3 1 2 1 2 1 1 2 1 3 1 2 3 2 2 A = 3 1 2 В C = 4 4 3 4 4 3

A: Claim: We have to find E such that EA=Bi.e. E=BA-1 And F such that, FA=C i.e. F=CA-1 A=121312443then…

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

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

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Q: -3-9 9 adj -2 -7 1 1 -9 -10 1

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

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Q: Consider the matrix A Calculate A¹00 if = (-5,-4,5). 1 6 2 -1 0

A: Introduction: The power of a matrix is very significant in matrix calculations. It involves the…

Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

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

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Q: Express the matrix A-¹ as a product of elementary matrices using In= EkEk-1...E₁A. 100 220 313 A =

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Q: If %3D 1- C What me matrix of An11n5 a positive inverse integers).

A: If we know how to inverse a matrix process we can solve the above question

Q: Consider the matrix B given by where 2 3 23-3 3 -4 2 -1 0 0 det (A₁) + 4 - 3 5 -5 -4 . Then det (B)…

A: We find the determinant of a matrix by expanding with respect to any row or column. By taking sum of…

Q: Find a non-zero 2 x 2 matrix such that -7 1 35 -5

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Q: Is the answer in #1 and #3 not in matrix form? how so?

A: Remember : eB represents coordinate matrix of e with respect to basis B. Which means if we consider…

Q: 1 1 1] A= 2 4 -3 - 5|] b. Find the inverse of the matrix

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Q: Find a 2 x 2 matrix such that -5 6 +988-0 1 -3 = [1 1

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Q: 2. Diagonalize the matrix: 1 0 -2 1 1 1 -1

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Q: Solve the following equation involving a determinant. If y multiple answers, enter them as a list,…

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Q: Find matrix D such that D=2A+B-C

A: Given