(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the left multiplication L_A:R^4->R^3 corresponding the matrix A:

1 2 -1 3 = 2

2 4 -1 6 = 5

0 1 0 2 = 3

What is the rank of L_A and the Range of L_a?

2. Relevant equations

3. The attempt at a solution

I have two main problems with this question. First, what is the left multiplication? I can't seem to find it anywhere and the prof said that we should know it from previous classes, but I have never heard of the left multiplication. Secondly, I understand that that the Range is supposed to be the solution space for Ax=B: is that correct?

Thank you so much for your help in advance.

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# Homework Help: Range of Left Multiplication Matrix

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