Determinants of a matrix - Jamb Mathematics Past Questions and Answers

Question 6:

• JAMB 1994

The determination of the matrix \(\begin{pmatrix} 1 & 3 & 3 \\ 4 & 5 & 6\\ 2 & 0 & 1 \end{pmatrix}\) is

A. -67
B. -57
C. -3
D. 3

Question 7:

• JAMB 1995

\(\begin{vmatrix} -2 & 1 & 1 \\ 2 & 1 & k \\1 & 3 & -1 \end{vmatrix}\) = 23

A. 1
B. 2
C. 3
D. 4

Question 8:

• JAMB 1998

The determinant of matrix \(\begin{pmatrix} x & 1 & 0 \\ 1-x & 2 & 3 \\ 1 & 1+x & 4\end{pmatrix}\) in terms of x is

A. -3x² - 17
B. -3x² + 9x - 1
C. 3x² + 17
D. 3x² - 9x + 5

Question 9:

• JAMB 2009

If Q is\( \left[ \begin{array}{cc}
9 & -2 \\
-7 & 4 \\
\end{array} \right]\) , then |Q| is

A. -50
B. -22
C. 22
D. 50

Question 10:

• JAMB 2009

If P \(=\left[\begin{array}{cc}x+3 & x+2\\
x+1 & x-1\end{array}\right]\) evaluate x if |P| = -10

A. -5
B. -2
C. 2
D. 5