Find the determinant of the 4 X 4 matrix M where a = -7, b = 12, c = 13, d = 6, e = 28, and f = -6. Your Answer: Answer -2 0 0 07 b00 cd0 a 3 -4 5 e f

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem: Determinant Calculation of a 4x4 Matrix**

Calculate the determinant of the 4 × 4 matrix \( M \):

\[
M = \begin{bmatrix}
-2 & 0 & 0 & 0 \\
a & b & 0 & 0 \\
3 & c & d & 0 \\
-4 & 5 & e & f
\end{bmatrix}
\]

where \( a = -7 \), \( b = 12 \), \( c = 13 \), \( d = 6 \), \( e = 28 \), and \( f = -6 \).

**Answer:** 

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Transcribed Image Text:**Problem: Determinant Calculation of a 4x4 Matrix** Calculate the determinant of the 4 × 4 matrix \( M \): \[ M = \begin{bmatrix} -2 & 0 & 0 & 0 \\ a & b & 0 & 0 \\ 3 & c & d & 0 \\ -4 & 5 & e & f \end{bmatrix} \] where \( a = -7 \), \( b = 12 \), \( c = 13 \), \( d = 6 \), \( e = 28 \), and \( f = -6 \). **Answer:** (Insert a solution space here for the user to enter their answer) [Provide hints or solutions on an educational website after user attempts the problem]
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