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## MATH 351 Purdue University Linear Algebra Ideas and Matrix Questions

MATH 351 Purdue University Linear Algebra Ideas and Matrix Questions

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2.4 Consider the accompanying matrix. Use the txst for linear independence to find a basis for the space spanned by the rows of the matrix. Suppose that this matrix is the augmented matrix for a system of equations. What is the rank of this system? (Recall that the rank is the number of equations left after linearly dependent equations have been discarded, one at a time.) A = ? ? ? ? ? 101 1 213 0 336 ?3 415 2 ? ? ? ? ?

2.5 ??Let A be the matrix from Exercise 2.4. Find a basis for the column space and express the other columns as linear combinations of your basic

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