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Write the adjoint of the matrix A=[(-3...

Write the adjoint of the matrix `A=[(-3, 4),(7,-2)]` .

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To find the adjoint of the matrix \( A = \begin{pmatrix} -3 & 4 \\ 7 & -2 \end{pmatrix} \), we will follow these steps: ### Step 1: Find the Minors of the Matrix The minor \( M_{ij} \) of an element \( a_{ij} \) is the determinant of the matrix that remains after removing the \( i \)-th row and \( j \)-th column. - **Minor \( M_{1,1} \)** (remove 1st row, 1st column): \[ M_{1,1} = \text{det} \begin{pmatrix} -2 \end{pmatrix} = -2 ...
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Knowledge Check

  • The adjoint of the matrix A= [{:( 1,2),( 3,-5) :}] is

    A
    `[{:( -5,-2),( -3,1):}]`
    B
    ` [{:( 5,2),( 3,-1) :}]`
    C
    ` [{:( 5,-2),( 3,-1) :}]`
    D
    ` [{:( 5,-2),( -3,-1):}]`
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