If the determinant of this matrix is 24, what is the value of b?

[tex]\left[\begin{array}{ccc}-5&4&1\\5&-7&-4\\-6&b&6\end{array}\right][/tex]

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Answer:

Step-by-step explanation:

Answer is B. 8

The value of b such that the determinant is 24 will be 8.

What is the matrix?

matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.

Matrix applications are crucial in many fields, including computer graphics, where they have been used to explain image transformations and other adjustments.

Given the matrix,

Its determinant will be

-5( -42 + 4b ) - 4(30 - 24 ) + 1(5b - 42 ) = 24

-15b + 144 =  24

15b =  120

b = 8

Hence the value of b will be 8.

For more about matrices

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