Question

What is transpose of A=[5 1 -6]?

Answer 1

`bb(A^T)=((5) , (1) , (-6))`

Explanation:

`bbM=((a_11,a_12,a_13),(a_21,a_22,a_23),(a_31,a_32,a_33))`

`bb(M^T)=((a_11,a_21,a_31),(a_12,a_22,a_32),(a_13,a_23,a_33))`

You can see from above, that when we transpose a matrix:

• Row 1 of `bbM` becomes Column 1 of `bb(M^T)`

• Row 2 of `bbM` becomes Column 2 of `bb(M^T)`

• Row 3 of `bbM` becomes Column 3 of `bb(M^T)`

Hence:

If `bbA=((5,1,-6))`

Then A Transpose: expressed `bb(A^T)`

`bb(A^T)=((5) , (1) , (-6))`

Note:

If the matrix given was supposed to be:

`((5),(1),(-6))`

The the transposed matrix will be:

`((5,1,-6))`

The above reasoning is still valid.