Given the matrix 1 -2 2 3 -13 0 1 2 -4 3 14 5 A = 1 -2 -9 67 10 -3 3 -6 -1 2 -4 1 1 1 3 1 (a) Find the reduced row echelon form of A and AT using MATLAB or OCTAVE. (b) Find a basis of the nullspace of...

question b c d，not need question a

Given the matrix<br>1 -2 2<br>3<br>-13 0<br>1<br>2 -4<br>3<br>14<br>5<br>A =<br>1<br>-2<br>-9<br>67<br>10 -3<br>3 -6 -1<br>2<br>-4<br>1<br>1<br>1<br>3<br>1<br>(a) Find the reduced row echelon form of A and AT using MATLAB or OCTAVE.<br>(b) Find a basis of the nullspace of A.<br>(c) Find a basis B of the column space of A consists of the column vectors of A. Express the<br>other column vectors as linear combinations of vectors in the basis.<br>(d) Find a basis of the row space of A consists of the row vectors of A. Express the other row<br>vectors as linear combinations of vectors in the basis.<br>

Extracted text: Given the matrix 1 -2 2 3 -13 0 1 2 -4 3 14 5 A = 1 -2 -9 67 10 -3 3 -6 -1 2 -4 1 1 1 3 1 (a) Find the reduced row echelon form of A and AT using MATLAB or OCTAVE. (b) Find a basis of the nullspace of A. (c) Find a basis B of the column space of A consists of the column vectors of A. Express the other column vectors as linear combinations of vectors in the basis. (d) Find a basis of the row space of A consists of the row vectors of A. Express the other row vectors as linear combinations of vectors in the basis.

Jun 05, 2022

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Given the matrix 1 -2 2 3 -13 0 1 2 -4 3 14 5 A = 1 -2 -9 67 10 -3 3 -6 -1 2 -4 1 1 1 3 1 (a) Find the reduced row echelon form of A and AT using MATLAB or OCTAVE. (b) Find a basis of the nullspace of...

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