1 2 -7 1 3 7 -1

Q: The following matrix is in row echelon form Select one: 1 42 a. 01 3 0 0 1 2 4 6 035 0 0 4 b. 0 0 C.…

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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: Determine the minor of a12 in the matrix. 8 -1 8. A =0 2. 1 1 -7

A: Solution:

Q: Can the following matrix be diagnolized? 2 -1 0 2

A: A matrix is diagonalizable if and only if for each eigenvalue the dimension of the eigenspace is…

Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: (b) Find the adjoint matrix of M = ! 4 -2

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Q: Find the value of k for which the matrix -9 -8 1 A = -7 -3 k rank 2.

A: the given matrix is A= -9-81-7298-3k the rank of matrix is defined as the order of the nonzero…

Q: Find the LU-factorization of following matrix. 1 2 3 8 14 2 6 13 4 A =

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Q: Which of the following is the order of its transpose in a matrix of the form ? * * O A) 6x2 О В) Зx3…

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Q: 1- 2. 12 3 10 O 니 %3D 3.

A: In this question , we can find the value of the variable of 'a' and 'c' . Multiply the left hand…

Q: Find a matrix P that diagonalizes 10 0 A = 1 20 -3 5 2

A: Given matrix is A=100120-352 Since A is lower triangular matrix. So, eigenvalues of A are the…

Q: Determine the matrix C = A + 3B if 12 -8 15 2 -1 1 A =-8 7 10 B =-1 4 6. | 15 10 - 5 1 6 3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Which of the following is a symmetric matrix Select one: [4 4 -21 O a 3 -1 -3 Oa. 5 2

A: Given find the symmetric matrix?The matrix is said to symmetric, the transpose of matrix equals to…

Q: Find the matrix A if 42 2 1 A : -1 3 %3D 1 3 A =

A: Given that, 21-13A=4213

Q: 1. A = -1 1. 4 2 . 2. 2.

A: on solving this we get the

Q: Find the rank of the following matrix. 3 6 5 12 1 2 2 1 2 1 5 2

A: To find the rank of the given 3x4 matrix?

Q: Find the minors and co-factors of C2, C,2, Cy2, Cyy, Cy of the given matrix 7 -12 A = 8 -5 11 -9 -1…

A: To find the minors and the cofactors

Q: 2 Consider the matrix below. What is the value of 2a11 – 3a22+ a32 =? - 5 A = (aj) -1 3 -1 b) 4 d)…

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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: For which three numbers c is this matrix not invertible, and why not? 2 с с A =|c 8 7

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: |1 23 4 5 6 17 8 9

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Q: Which of the following 3 1 1 could be a similar matrix? -4 -2 -5 2 5

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Q: Diagonalize the following matrix. – 13 - 42 5 16 %3D D P-1 =

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Q: Which of the following matrices are skew-symmetric?

A: Given: Let A=12-23 To Find: To check the given matrix for skew-symmetric

Q: Which one of the following s a symmetric matrix? .a 5 3 2 3 4 11 2 11 6 .b 3 2 11 4 3 6 11 5 .C 5 2…

A: Suppose A is a square matrix then A is  Symmetric if AT= A

Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 1 -6…

A: We are asked to find which is row-echelon Form.

Q: 4. Are the following matrices in Row Reduced Echelon Form (RREF)? If the matrix is not in RREF, what…

A: Nonzero ( row / column ) : A nonzero row or column in a matrix means a row or column that contains…

Q: Which one of the following is an upper triangular matrix? .a 5 3 1 0 -5 2.6 0 0 5 .b

A: Upper triangular matrix is the matrix in which the values below the main diagonal are zero and the…

Q: Find the rank of the following matrix: 1 1 2 1 1-a 2 2 2-а 6—а 4

A: we have to find the rank

Q: Consider the following matrix. 2 -1 1 A =-4 -1 -4 1 -1 0 Choose the correct description of A. 1 if…

A: A matrix is said to be singular if determinant of that matrix is zero otherwise the matrix is non…

Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: Diaganolize the following matrix. 2 0 -2 10 P = D = P-1 =

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Q: Find the rank of the following matrix 2 6 2 -4 -6 2 8 A = -2 -8 -8 -14 -6 6 16 2 -14 -16

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Q: Find matrix A, given that: :) 8. -2 2A-1 10 9.

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 2 take inverse on…

Q: Which of the following matrices corresponds to the elementary row operation 3R1 + R2 → R2 on.a 3 x 3…

A: We have to perform given operation

Q: Find a non-zero 2 × 2 matrix such that -5 -1 25

A: Let a 2×2 matrix be: abcd such that: -5-1255 abcd=0000

Q: Find an LU-factorization of the matrix A 2 11 -6 6 4]

A: Given, A=-21-64

Q: Which ofthe following is the LU-factorization of the matrix a) b) 1. c) -1 [1 01 0] d) -3

A: Start from identity matrix

Q: a: Diagonalize the following matrix, if possible [4 1 3] 3 87 12 7 5]

A: given a matrix A=413387275 to check- whether the matrix is diagonalizable or not

Q: Which of the following operations on a matrix may not be an elementary operation row ...

A: Which of the following is not a elementary row operation on a matrix.

Q: Which of the following describes the matrix? [8 9 4 5 26 317 03x3 03 x 9 09 x 3 02 x 3

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Q: 9. A = -2 2

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Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 1 0 0…

A: The objective is to find the matrix in row echelon form: By the definition for row echelon matrix:…

Q: Find a family of the matrices that is similar to the matrix P=8 4 -3

A: To Determine: find a family of matrices which is similar to the matrix Q where P=8 . Given: we have…

Q: Which one of the following matrix is a Lower triangular matrix? -3 5 A = -7 -4 9. -3 4 -7 0 259 . 3…

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Q: Find the nullspace of the matrix

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Q: Write an augmented matrix for the follo 6x - 5y +z = -9 8x - 7y +z = 7 9y-2z = - 2 %3D %3D

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Q: Q2: Given that A = .3 -2 = what is 2(A+ B)" in matrix form? and B

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Q: Find the adjoint of square matrix [A] 2 [A] = 3 -4 -2 I5 3 1

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Q: For which value of k is the following matrix NOT invertible? [1 2 3 1 A = 0 -3 -4 5 -4 k 1 -1 7 3 1…

A: The given problem is to find the value of k for which the given matrix is not invertible.