Question

# Consider the matrix A= −2−2 6] [−2−3 5] [3 4−8] [−7−9 18 (all one matrix) (a)...

Consider the matrix A=

−2−2 6]

[−2−3 5]

[3 4−8]

[−7−9 18

(all one matrix)

(a) How many rows ofAcontain a pivot position?

(b) Do the columns ofAspanR4?

(c) Does the equationA ~x=~b have a solution for every~b∈R^4?

(d) Would the equation A~x=~0 have a nontrivial solution?

(e) Are the columns of A linearly independent?

(~x is vector x)

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