Vector lie in the kernel of a

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1. The vector [1, 3, 1] and [2, 4, 6] are

a.independent. 
b. dependent.

2. If v is a solution of Ax=b and w is a solution of Ax=0, then 2v+3w is a solution of a. Ax=b   b. Ax=0  c. Ax=2b  d. Ax=3b e. Ax=5b

3. Any set of three vectors in R^3 must form a basis.

True 
False

4. If L is a special lower triangular n*n matrix, then the columns of L form a basis of R^n.

True 
False

5. If Ax=[1,0] and Ay=[3,0], then which of the following vector lie in the kernel of A?

a. 2x  b. 3x-y c. x-3y d. x+y Other

Reference no: EM13963752

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