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Answer: C. No, because its determinant is zero.

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No, because its determinant is zero. The correct option is C.

What is a matrix?

A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns.

The given matrix is,

[tex]\left[\begin{array}{cc}6&-4\\-9&6\\\end{array}\right][/tex]

The determinant of the matrix will be calculated as below:-

D = ( 6 x 6 ) - ( -9 x -4 )

D = ( 36 - 36 )

D = 0

Here the determinant of the matrix is zero. Therefore, the matrix is not invertible.

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