Find the bases of Null, Col, and Row space of the following matrices and determine their rank -3 -3 -3 2 0 -6 4 0 1 3 1 7 2 -2 1 0 -1 -2 -2 -2 0 2 11 0 1 -2 -4 -4 (a) A= (b) B= 2 -3 -1 0 -8 0 (c) C = 3 3 3 0 4 3 0 -3

Q: Consider the matrices 4 2 1] 5 4 B = 2 2 3 1 A = X = -3 0 1 2 0 8 Which of the following matrix…

A: We have  Matrix multiplication AB defined only if Number of columns of A = Number of rows of B

Q: Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. 1 0 -1 4 0 5 0 1 A =…

A: Given that :- A=50113-1101 , B=10-1401010 find AB,detA,detB,detAB,detA+B

Q: Consider the following matrices: [1 2 3] 4; li 4 3] 3 2 1 [A] 1 [B] -4 1 3 -1. Find: b) 2[A] – 3[B]

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Q: Find the rank of each of the following matrices: 1 3 -2 5 4 1 2 -3 1 2 1 3 (b) 3 8 -7 1 4 1 3 5 -2 4…

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Q: Find the rank of the following matrices: 1 2 3 2 3 1 2 4 6 2 4 rank(A)= 1 2 4 2 3 6 3 1 2 4 2 4…

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Q: Show that A and B are not similar matrices

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Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices                                             A=10121132-1…

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A² BC-1)?

A: Given A, B and C are 3×3 matrices. and A=-3,B=-2,C=6 Find the determinant of A2BC-1.

Q: compute the indicated matrices A + 2D

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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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Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

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Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A" A-1)?

A: Given that A,B and C are 3*3 matrices. To find det(A^TA^-1)

Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 1 4 6…

A: We have to check wheather they are in row echlon

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: 1 (4) s What can be said about the 2 matrices based on your result (d)? -0.5 -1.5

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Q: Which of the following 3 x 3 matrices are in row- 1 -3 0 1 1 0 0 100 0 1 0 0 0 1 O [1 -3 -3 0 1 0 0…

A: Row Echelon Form   A matrix is in Row Echelon Form when it satisfies the following conditions.   1)…

Q: 4- Determine the rank of the following matrices: 2 8] [3 4 5 [1 7 6 ii- A=1 2 3 5 3] [3 9 21 iii- A…

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Q: Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. A = AB = det(A) det…

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Q: Find the area of the triangle with the points A(1, 1,5), B(3, 4,3), and C(1,5, 7) by using the cross…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: determine which of the following matrices are nonsingular:

A: to determine the matrix which is non singular.

Q: If A and B are m × n matrices such that Col(A) and Col(B) are isomorphic, then the RREF of both…

A: If two vector space is Isomorphic then the dimension of the vector space must be same. The dimension…

Q: Find A-E and the elements from the matrices

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Q: compute the indicated matrices 3D - 2A

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Q: rank of the following matrices: 2 1 3 B= 20 2 1 1 2

A: We have to find out

Q: -1 -2 3 -2 -4 If A = 2 -4 -4 and B -3 -1 -4 then -1 4 -1 АВ and ВА Choose v True or False: AB= BA…

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Q: Find an LU 5 -5 -10 25 -13 -13-8 factorization of the following matrices: -3 0 5 -6 9 -5 (a) 3 -1 2…

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Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your c 1 -7 -8 1 1…

A: The matrix is said to be in row echelon form if: The first non-zero element in each row, called the…

Q: 11 4 -1 0 1 -1 2 4 5 6 3 4 0 -4 3 6 3 -7 5 1 -1 6 7 3 -3 -1 -5 2

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