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In: Advanced Math

For each of the following matrices, find a minimal spanning set for its Column space, Row...

For each of the following matrices, find a minimal spanning set for its Column space, Row space,and Nullspace. Use Octave Online to get matrix A into RREF.

A = [4 6 10 7 2; 11 4 15 6 1; 3 −9 −6 5 10]

Solutions

Expert Solution

there is one pivot entry at first second and fourth column so a basis for the column space is

the basis for the row space is

.

.

reduced system is

general solution is

the basis for the null space is

Colby Messinger answered 2 years ago
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