MTH141 - Lab 8 - Ryerson University Lab 8 MTH 141 1 3.4...

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Ryerson University Lab 8 - MTH 141 1. 3.4 Problem A1(b) Let L be the linear mapping with matrix 1 0 - 1 0 1 3 1 2 1 2 5 1 and let y 2 = 3 - 5 1 5 . Is y 2 in the range of L ? If so, nd ⃗x such that L ( ) = y 2 . 2. 3.4 Problem A2(a) Find a basis for the range and a basis for the nullspace of the following linear mapping. L ( x 1 , x 2 , x 3 ) = (2 x 1 , - x 2 + 2 x 3 ) 3. 3.4 Problem A5(b) Suppose that the following matrix is the coef cient matrix of a homogeneous system of equations. State the following.
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