Suppose the following matrix B is the echelon form of a matrix A: B = A...

Question

Question

Suppose the following matrix B is the echelon form of a matrix A:

B = $4100 2000$

Answer the following questions with reasons. The word “plane” is being used below to mean planes of any dimension.

(b) Before you knew B, how many planes in which dimensional space were intersecting to give the solution space of Ax = 0?

(c) Looking at B, how many planes do you minimally need to cut out the solution space of Ax = 0?

(d) Write down a new plane which when added to Bx = 0 will make the system inconsistent.

(e) Are the columns of A linearly independent?

Answer 1

Answer #1

4 Hoo Nen 3 2 Rano-32

Answer 2

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