Solve the matrix equation for $a,\ b,\ c,$a, b, c, and $d$d .$\begin{bmatrix}7&d\\5&b\end{bmatrix}=\begin{bmatrix}c&4\\a&17\end{bmatrix}$[7 d5 b]=[c 4a 17]$a=$a= , $b=$b= , $c=$c= , $d=$d=
Question
Solve the matrix equation for a, b, c, and d .[7 d5 b]=[c 4a 17]a= , b= , c= , d=
Solution
The given matrix equation is:
We can solve this equation by equating the corresponding elements in the two matrices.
From the first row and first column, we get:
7 = c
So, c = 7.
From the first row and second column, we get:
d = 4
So, d = 4.
From the second row and first column, we get:
5 = a
So, a = 5.
From the second row and second column, we get:
b = 17
So, b = 17.
Therefore, the solution to the matrix equation is a = 5, b = 17, c = 7, and d = 4.
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