Use as many columns of A as possible to construct a matrix

Chapter 1, Problem 41E

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QUESTION:

PROBLEM 41E

Use as many columns of A as possible to construct a matrix B with the property that the equation Bx = 0 has only the trivial solution. Solve Bx = 0 to verify your work.

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QUESTION:

PROBLEM 41E

Use as many columns of A as possible to construct a matrix B with the property that the equation Bx = 0 has only the trivial solution. Solve Bx = 0 to verify your work.

ANSWER:

Solution:

Step 1:Given that the equation Bx = 0 has only the trivial solution.  Use as many columns of A as possible to construct a matrix B.

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