MATH 351 Purdue University Linear Algebra Ideas and Matrix Questions

MATH 351 Purdue University Linear Algebra Ideas and Matrix Questions

MATH 351 Purdue University Linear Algebra Ideas and Matrix Questions


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

You must proofread your paper. But do not strictly rely on your computer’s spell-checker and grammar-checker; failure to do so indicates a lack of effort on your part and you can expect your grade to suffer accordingly. Papers with numerous misspelled words and grammatical mistakes will be penalized. Read over your paper – in silence and then aloud – before handing it in and make corrections as necessary. Often it is advantageous to have a friend proofread your paper for obvious errors. Handwritten corrections are preferable to uncorrected mistakes.

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