+0

# I need some help on this matrix problem. Thank you

0
36
2

I would really appreciate any help on this problem.

Let $$\mathbf{A}$$ and $$\mathbf{B}$$ be matrices, and let $$x$$ and $$y$$ be vectors such that neither is a scalar multiple of the other satisfying

$$\mathbf{A} \mathbf{x} = \mathbf{y}, \mathbf{A} \mathbf{y} = \mathbf{x} + 2\mathbf{y}$$

and

$$\mathbf{B} \mathbf{x} = \mathbf{x} + \mathbf{y}, \mathbf{B} \mathbf{y} = 2\mathbf{y}.$$

Then there exist scalars $$a, b, c, d$$ such that

\begin{align*} (\mathbf{A}\mathbf{B})\mathbf{x} = a \mathbf{x} + b\mathbf{y},\\ (\mathbf{B}\mathbf{A})\mathbf{x} = c \mathbf{x} + d\mathbf{y}. \end{align*}

Enter $$a, b, c, d$$ in that order

Thank for any help in advance

Jul 21, 2022

#1
0

(a,b,c,d) = (5,6,2,4)

Jul 22, 2022
#2
0

Hello, Thank you for the help,

But that answer seems to be wrong.

Jul 22, 2022