Consider the matrices 1 0 2A =00 1 3 0 0 0 0 1 0 0 0 0 0 1andB =1 0 2 0 0 0 1 3 0 0 0 0
Chapter 3, Problem 85(choose chapter or problem)
Consider the matrices 1 0 2A =00 1 3 0 0 0 0 1 0 0 0 0 0 1andB =1 0 2 0 0 0 1 3 0 0 0 0 0 1 0 0 0 0 0 1Show that the kernels of matrices A and B are different. Hint: Think about ways to write the fifth column as a linear combination of the preceding columns.
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