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(A) By the definition of equality of two matrices,we equate the corresponding elements:$1) \ 2a + b = 4$$2) \ a - 2b = -3$$3) \ 5c - d = 11$$4) \ 4c +

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$a=1, b=2, c=3, d=4$

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(A) By the definition of equality of two matrices,we equate the corresponding elements:$1) \ 2a + b = 4$$2) \ a - 2b = -3$$3) \ 5c - d = 11$$4) \ 4c + 3d = 24$Solving equations $(1)$ and $(2)$:From $(2)$,$a = 2b - 3$. Substituting into $(1)$:$2(2b - 3) + b = 4 \implies 4b - 6 + b = 4 \implies 5b = 10 \implies b = 2$.Then $a = 2(2) - 3 = 1$.Solving equations $(3)$ and $(4)$:From $(3)$,$d = 5c - 11$. Substituting into $(4)$:$4c + 3(5c - 11) = 24 \implies 4c + 15c - 33 = 24 \implies 19c = 57 \implies c = 3$.Then $d = 5(3) - 11 = 4$.Thus,$a=1, b=2, c=3, d=4$.

Find the values of $a, b, c,$ and $d$ from the following equation:
$\begin{bmatrix} 2a+b & a-2b \\ 5c-d & 4c+3d \end{bmatrix} = \begin{bmatrix} 4 & -3 \\ 11 & 24 \end{bmatrix}$

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Find the values of $a, b, c,$ and $d$ from the following equation:$\begin{bmatrix} 2a+b & a-2b \\ 5c-d & 4c+3d \end{bmatrix} = \begin{bmatrix} 4 & -3 \\ 11 & 24 \end{bmatrix}$