Find the basis for both Col A and Nul A for the matrix A. A = -3 9 -2 -7 2 -6 4 8 3 -9 -2 2 ~ 1 -3 6 9 0 0 4 5 0 0 0 0

Q: Find a matrix A such that 5 ¹0-08-08-0 A 5 A A = A =

A: We can solve this as follows:

Q: Give a basis for the image of the matrix A. 0 0 2 4 A 1-5 -2 2 00 0-5-9 Number of Vectors: 1 0 0

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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: Find bases for row(A) and col(A) in the given matrix using AT. 9 0 4 1 4 1 4 8 5 1 8 9 A = 4 -1 3

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Q: Find bases for row(A) and col(A) in the given matrix using AT. 3 -9 0 3 1 3 1 37 2 -6 1 6 8 row(A)…

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Q: Let A be the following matrix: A = - -1 2 -1 0 0 0 -3 -2 0 3 -1 -1 1 Find a QR factorization of A. 0…

A: Given that a matrix A=-12-10-1100-3-203 Find the QR factorization of A. The process of QR…

Q: Q3: Write the following matrices in the form B = U A where U is the product of elementary matrices…

A: Given matrix is  A=40-2-301210               (i) Let us consider the augmented matrix AI Now,…

Q: -1 6 3 -8 3 1. Find an orthogonal basis for the column space of the matrix 1 -2 6 1 -4 -3

A: Gram Schmidt Orthogonalization process- Let the orthogonal basis is denoted by, {v1, v2,......} and…

Q: Find the basis for the Null space of the matrix 1 4 5 2 1 3 0 1 3 2 2 A = 2

A: A=14522130-1322 →R3→R3+R1R2→R2-2R1…

Q: Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A. 3…

A: Row space of matrix: Let A be a m x n matrix. The space spanned by the rows of A is called row space…

Q: For the matrix A, find an orthogonal matrix P such that P-1 A Pis diagonal. 3-2 41 A = I ده است مراد…

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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: Orthogonally diagonalize the matrix. A = PDPT, where P A = 2 0 0 0 1 -1 and D 0 −1 1

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Q: Find the change of basis matrix [B]. {0}{000) C = B = -2 -3 2 -2 -31 2 4 5 -3

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Q: 7. For the matrix: A = b. B Row B Rank (A)= -4 a. Find a basis for the row space of A and rank(A). 1…

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Q: Obtain factorizations of the form A = Pt LU for the following matrix. 1 3 4 0 2 6 8 1 -2 1 1 2 1 3 1…

A: The LU decomposition of the given matrix A, in the form   The permutation matrix    is:

Q: Give a basis for the image of the matrix A. 0 0 1 -2 A = 1 -1 2 −5 0 0 5 -10 Number of Vectors: 1…

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Q: 2. Let A = 'Or Nwo' 0 -3 9 -2 8 0 15 0 2 1 5 0-5 (a) Factor the matrix A into CR. (b) Find the…

A: Let the matrix be .To Find:a) Factor the matrix A into CR.b) Find the column space.c) Write each row…

Q: Use the reduced echelon form of the matrix A shown below to find the factorization A = CR. 1 2 0 11…

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