1 3 -4 -3 Find the nullspace of the matrix A = 0 1 0 0 -3 1

Q: Find the rank and the nullity of the matrix rank(A) = nullity(A) = rank(A) + nullity (A) = choose <…

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Q: Find a QR-factorisation of 1 1 -1 1 | 1 1 1 1 0 -

A: The given question is solved below.

Q: 1 2 5 -3 Find a matrix X that satisfies XA=B, where A = and B = 2 5 3 -5

A: We find inverse of A then fin matrix X.

Q: -61 -2 is A- = 23 1 3 (7) The inverse of the matrix A =-2 -5 1 26 %3D 6 7 8. Truc b. Fulue

A: Given: A=13−2−2−516723

Q: 3 - 2 - 5 1 Find the rank of the matrix 3 5 - 12 -1 2) 2.

A: Rank of matrix: Number of linearly independent column represent rank of matrix. Given matrix is:…

Q: 5 -3 Find the matrix A if (I+ 2AT) ¯ = | 1: -2

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Q: what value is in the 2nd row 2nd column of V x 3Q [3 4 -31 Г2 3 V = |0 -1 Q = 18 5 %3D 12 -2 1 1 5…

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Q: -1 2 3 - 5 2 , Find the rank of the matrix 3 - 8 5 5 -12

A: The matrix is given as -123-22-5123-8525-12-16 Convert this matrix to echelon form Consider…

Q: Find the cofactors of the matrix -2 - 4 l1 2 3.

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Q: + 4x4 4.x1 + 4x2 + 2x1 + 5x2 + 7x3 + 4x4 10x1 + 5x2 -2x1 12 1 5x3 25 - 2x2 + 3x4 = -10 - | The first…

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Q: If A can be row reduced to the identity matrix, then A is not invertible. True False

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Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: 3 1 A B= 6 -5 -6 (1) Find a matrix C which satisfies 2A+ C = B. C = (2) Find a matrix D which…

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Q: What is the resulting matrix? ( 2 0 -5 ) * ( 21 -8 -31 )T

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Q: [5 27 15. Investigate the type of the square matrix A = 15 -9 6 – 3 10 -6 4

A: Calculate the determinant:  5-3215-9610-64=5×-3×2111333222                   =0

Q: 17 -2 14 0 The null space for the matrix 30 1 -2 3 6 1 -1 0 4

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Q: 2 1 0 -1 3 1 Calculate the rank of the matrix P = 1 2 0 3 1 1 1 -1 - 5 -7 3 -

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Q: Orthogonally diagonalizable the following matrix -4 -2) A = -4 5 2 -2 2 2

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Q: If A 0 . 4 -4 ¡], B = [11]. 0 4 find a 2 by 2 matrix X such that A X = B.

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Q: [2 -3 -47 The matrix product 2 4 [0 1 5 1

A: Given : 2-3-4015 . 3-12401

Q: 15. Diagonalize the matrix A = 11 expressing it similar to a diagonal matrix D. "

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Q: 1 2 0 Determine if the matrix A: -1 1 3 is invertible or not. EXPLAIN! 3 -2 -8

A: Given matrix A is not invertible.Explanation:Step 1:Step 2: Step 3: Step 4:

Q: 2) (1) Consider the matrix A = matrix will fail to be invertible? (ii) Consider the matrix B =…

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Q: Multiply matrix rs 31 by L-3 -2) 5

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Q: SKIP 0. -1 4. Consider the matrix A = -1 -2 -5 -1 -2 Give the rank of A and the dimension of the…

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Q: (a) Find the eigenvalues of matrix P. All working must be shown. Just quoting the eigenvalues, even…

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Q: en the matrix frix.

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Q: "determine by inspection whether the matrix is invertible."

A: Method of inspection tells us that for a Triangular matrix if all the elements of the main diagonal…