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I would like to Calculate Q. The transpose of U matrix is a 2x5 matrix and U is a 5x2 matrix. Therefore, I was expecting a 5*5 Matrix, which wasn't the case. Can someone please help me to solve Q enter image description here

Thank you in advance!

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1 Answer 1

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Your numbers are right. You are just confused about matrix multiplication. See https://en.wikipedia.org/wiki/Matrix_multiplication (or any linear algebra textbook):

For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The result matrix has the number of rows of the first and the number of columns of the second matrix.

(emphasis mine)

If you really want a 5x5 matrix, you need to compute $U U^T$

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  • $\begingroup$ Thank you for you answer $\endgroup$
    – Rayleigh
    May 9, 2023 at 11:49

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