Justify whether matrix a is invertible.
Answer: C. No, because its determinant is zero.
Step-by-step explanation: I got this right on Edmentum.
No, because its determinant is zero. The correct option is C.
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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