1. Suppose that A and its reduced row echelon form are To 2 0 -4 0 6 0 -1 7 0-16 0 0 -12 3 15 0 −1 -9 0 8 A -4 6 4 (a) What is the dimension of Nul(A)? (b) Find a basis for Nul(A). [0 1 0 -2 0 3 0 0 1 1 0 4 000 0 1 -1 000 0 0 0

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A: The given matrix B=-36-11-11-223-12-458-4. We have find a basis for the null space of B and the…

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Q: 2. Consider the following matrix and its RREF [40-8-1 6 3 3 A = 3 1 -2 4 1 1 0 0 3 -1 0 2 43 4 -2-9…

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Q: -3 3 7 1 3 Let A -1 3 9 3 1 -5 3 5 -1 4/ ases for the row space and column space of A. Hence find…

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Q: 9. Matrix A and its reduced echelon form are given. Find the basis of the column space and the basis…

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Q: 5. Find bases for row space, column space and null space of A. Also, verify the rank-nullity theorem…

A: (.)  Given matrices are , (a).     1  4  5   6  93-2   1   4-1-1   0-1-2-12   3   5   7   8 (b).…

Q: Civen that A and B are row equivalent. -1/6 100 -1/6 0 1 0 4 -6 3 1 -3/2 0 0 0 2 A = -2 -3 -2 0 3 1…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: Notation : R1&lt;-  R2-R3  means Row 1 is replaced by (R2-R3).

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Q: Consider the following matrix A: 1 2 3 -1 3 5 8 -2 A = %3D 2 2 0 2 1 1 (a) Find a matrix B in…

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Q: TRANSFORM A to reduced row echelon form. (b) FIND a basis for N ul(A), and STATE dim[N ul(A)]. A=…

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Q: -2 5 -3 1 1 2. Let S = 5 -1 7 Find an orthonormal basis for the space spanned by the -3 -2 -10 -1…

A: Given matrix is: S=-25-3110-175-3-2055-10-1