The value of b in the matrix with the help of determinant is 8. Thus option B is correct.
According to the statement
we have given that the one matrix and its determinant and we have to find the value of v.
So, For this purpose, we know that the
The determinant in math is a scalar quantity that is a result of the rows and columns of a matrix form.
And according to the given information:
If the determinant of this matrix is 24.
And
The matrix is given below.
[tex]\left[\begin{array}{ccc}-5&4&1\\5&-7&-4\\-6&b&6\end{array}\right][/tex]
And put the relation R₁ ⇒ R₁ + R₂ on it then
[tex]\left[\begin{array}{ccc}0&-3&-3\\5&-7&-4\\-6&b&6\end{array}\right][/tex]
And put the relation C₂ ⇒ C₂ – C₃ on it then
[tex]\left[\begin{array}{ccc}0&0&-3\\5&-3&-4\\-6&b-6&6\end{array}\right][/tex]
Then the value of b will be
–3[5(b – 6) – (–3)(–6)] = 24
(5b – 30 – 18) = –8
5b = 40
b = 8
Then the correct option is B.
So, The value of b in the matrix with the help of determinant is 8. Thus option B is correct.
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Disclaimer: This question was incomplete. Please find the full conten below.
Question:
Select the correct answer. if the determinant of this matrix is 24, what is the value of b? a. 4 b. 8 c. 16 d. 20
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