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If matrix C = [[4, 3], [6, 3]], what is the transpose of C?a.[[4, 3], [3, 6]]b.[[3, 4], [6, 3]]c.[[4, 6], [3, 4]]d.[[4, 6], [3, 3]]

Question

If matrix C = [[4, 3], [6, 3]], what is the transpose of C?a.[[4, 3], [3, 6]]b.[[3, 4], [6, 3]]c.[[4, 6], [3, 4]]d.[[4, 6], [3, 3]]

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Solution

The transpose of a matrix is obtained by interchanging its rows into columns or columns into rows.

Given matrix C = [[4, 3], [6, 3]],

The first row of matrix C becomes the first column of the transpose of C, and the second row of matrix C becomes the second column of the transpose of C.

So, the transpose of C is [[4, 6], [3, 3]].

Therefore, the correct answer is d. [[4, 6], [3, 3]].

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