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True or False (Please explain) 1. If E and F are elementary matrices then C =...

True or False (Please explain)

1. If E and F are elementary matrices then C = E*F is nonsingular.

2. If A is a 3x3 matrix and a1+2a2-a3=0 then A must be singular.

3. If A is a 3x3 matrix and 3a1+a2+4a3=b is consistent.

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