Question: 1. Suppose that a b l C = 1 2 3 . 1 1 2 Describe conditions on the constants 1,1,1! that ensure that C

1. Suppose that a b l C = 1 2 3 . 1 1 2 Describe conditions on the constants 1,1,1! that ensure that C has no inverse. 1 1 1 2.5upposcthat3 111 1 ,b2_ '1 ,b3 1 D 0 1 (3.} Explain what 5 is a basis for R3 3 (b) Find constants 61,62,133 50 that 4 = tab"; + C2132 + 63133. 5 (c) Find a vector in R$ that has coordinates W N - with respect to the basis B. 3. Find a basis for the vector subspace of R* that is described by the equations X1 + x2 +2x3 + X4 = 0 X1 - X2 + X4 =0

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