Question

Products with Transposes. Use matrices to find the product of A^(T)B.
A=[1] B=[1]
[4] [-1]

Answer 1

what is A^T?

Answer 2

\[A ^{T}\]
meaning T is transposes

Answer 3

Of course, I know what it is, I just ask whether you know how to get A^T from A?

Answer 4

\[\Large\rm A=\left(\begin{matrix}1 \\ 4\end{matrix}\right)\]\[\Large\rm A^T=?\]

Answer 5

is (1 4)

Answer 6

\[\Large\rm A^T=\left(\begin{matrix}1 & 4\end{matrix}\right)\]Good good good.

Answer 7

\[\Large\rm \left(\begin{matrix}1 & 4\end{matrix}\right)\left(\begin{matrix}1 \\ -1\end{matrix}\right)\]Having trouble multiplying these? :o

Answer 8

Might be a good idea to determine the `size` of the resulting matrix before doing any calculations.

Answer 9

(1x2) multiplying a (2x1)
gives us what size? :3

Answer 10

2x2?

Answer 11

The `inner` numbers tell us whether matrix multiplication CAN BE applied.
The 2's match, good, so we can multiply.

The resulting matrix will be the `outer` numbers

Answer 12

would it be 1 and -4?

Answer 13

Woops, the outer numbers are 1 and 1, yes?
So our resulting matrix will be a 1x1 matrix.

Yes, you've done your calculations correct, but that value should go into our single slot.
1(1)+4(-1)

Answer 14

-3?

Answer 15

\[\Large\rm \left[\begin{matrix}1 & 4\end{matrix}\right]\left[\begin{matrix}1 \\ -1\end{matrix}\right]=[-3]\]Yay good job \c:/

Answer 16

thank you for your help

Answer 17

hey @zepdrix do you know when it will not be compatible?