Question: Refer to the matrices A and B below. Make appropriate calculations that justify your answers and mention an appropriate theorem. Can every vector in R

Refer to the matrices A and B below. Make appropriate calculations that justify your answers and mention an appropriate theorem.


A = 1 -1 0 2 3 0 1 -1 -4 3


Can every vector in R4 be written as a linear combination of the columns of the matrix B above? Do the columns of B span R3?

A = 1 -1 0 2 3 0 1 -1 -4 3 1 2-8 03-1 B = 1 0 1 -2 3-2 2 1 1-5 2-3 7 2-1 -8

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