a) In statistical theory, a common requirement is that a matrix be of full rank. That is, the rank should be as large as possible. Explain why a mxnmatrix with more rows than columns has full rank if and only if its columns are lincarly independent.

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Linear Algebra
Permanent
ST , POINT
rank should be as large as possible. Explain why a m×n matrix with more rows than columns has full
rank if and only if its columns are linearly independent.
a) In statistical theory, a common requirement is that a matrix be of full rank, That is, the
b) Is it possible for a nonhomogeneous system of seven equations in six unknowns to have a unique
solution for some right-hand side of constants? Is it possible for such a system to have a unique solution
for every right-hand side? Explain.
50
Disne
EXPERIENCE CAD
OSE RIOS
30000495240
Transcribed Image Text:Permanent ST , POINT rank should be as large as possible. Explain why a m×n matrix with more rows than columns has full rank if and only if its columns are linearly independent. a) In statistical theory, a common requirement is that a matrix be of full rank, That is, the b) Is it possible for a nonhomogeneous system of seven equations in six unknowns to have a unique solution for some right-hand side of constants? Is it possible for such a system to have a unique solution for every right-hand side? Explain. 50 Disne EXPERIENCE CAD OSE RIOS 30000495240
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