Asked Nov 19, 2019

Suppose U is mxn matrix. Explain why if U has orthonormal columns, then we must have m greater than or equal to n.


Expert Answer

Step 1

Let U be a m×n matrix.

We need to show that if U has orthonorma...


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So, let U has orthonormal columns Let U [ci, c2, C3, ...,Cn] where c\, C2, C3, . By the above statements, c, c2, c3, ..., c are orthonormal vectors. The dimension of the orthonormal vectors is n. , cn are the columns of U.


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Advanced Math