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**1. Let A∈ Μ4,3**

(that is, a 4 x 3 matrix). Let v1, v2 ∈ R^4 and let w = v1 +v2. Suppose there exists u1, u2 as an element of R^3 such that v1 = Au1 and v2= Au2

prove the Ax=w is consistent

(that is, a 4 x 3 matrix). Let v1, v2 ∈ R^4 and let w = v1 +v2. Suppose there exists u1, u2 as an element of R^3 such that v1 = Au1 and v2= Au2

prove the Ax=w is consistent

## Homework Equations

**3.i honestly don't know if i'm doing this correctly at all, but this is what I have done so far:**

A

A

A

then i don't know what to do.

A

**x**=**w**where A is a 4x3 matrix.A

**x**=v_{1}+ v_{2}A

**x**=Au_{1}+ Au_{2}then i don't know what to do.

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