Question: 1. We say A E RMXn is LQ Factorizable if there are LE RXm and QERmXn such that L is lower triangular matrix with positive

1. We say A E RMXn is LQ Factorizable if there are LE RXm and QERmXn such that L is lower triangular matrix with positive diagonal entries, Q has orthonormal rows, and A = LQ. Name necessary and sufficient conditions on the rank of A ERmxn for A to be LQ Factorizable, and describe the computational procedure for finding L and Q in this case. 1. We say A E RMXn is LQ Factorizable if there are LE RXm and QERmXn such that L is lower triangular matrix with positive diagonal entries, Q has orthonormal rows, and A = LQ. Name necessary and sufficient conditions on the rank of A ERmxn for A to be LQ Factorizable, and describe the computational procedure for finding L and Q in this case
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