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p = \(\begin{vmatrix} x amp; 3 amp; 0 \\ 2 amp; y amp; 3\\ 4 amp; 2 amp; 4 ...
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Classroom
Mathematics Classroom
Jamb
Topics
Jamb 1992
ALGEBRA
Matrices And Determinants
Transpose Of Matrices
Take Free Practice Test On 2024 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)
Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\) Where p
T
is the transpose P calculate /p
T
/ when x = 0, y = 1 and z = 2
A.
48
B.
24
C.
-24
D.
-48
Show Answer
Show Explanation
Correct Answer: B
Explanation
p = \(\begin{vmatrix} 0 & 3 & 0 \\ 2 & 1 & 3\\ 4 & 2 & 2 \end{vmatrix}\)
P
T
= \(\begin{vmatrix}0 & 2 & 4 \\ 2 & 1 & 3\\ 0 & 3 & 2 \end{vmatrix}\)
/p
T
/ = \(\begin{vmatrix}0 & 2 & 4 \\ 3 & 1 & 3\\ 0 & 3 & 2 \end{vmatrix}\)
= 0[2 - 6] - 2[6 - 0] + 4[9 - 0]
= 0 - 12 + 36 = 24
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