p = ∣∣ ∣∣x302y3424∣∣ ∣∣ | x 3 0 2 y 3 4 2 4 | q = ∣∣ ∣∣x2z3y203z∣∣ ∣∣ | x 2 z 3 y 2 0 3 z | Where pT is the transpose p calculate /pT/ when x = 0, y = 1 and...

Assessment: JAMB UTME - Mathematics - 1992 Subject: General Mathematics

Question 1 Report

p = $| \begin{matrix} x & 3 & 0 \\ 2 & y & 3 \\ 4 & 2 & 4 \end{matrix} |$

q = $| \begin{matrix} x & 2 & z \\ 3 & y & 2 \\ 0 & 3 & z \end{matrix} |$ Where pT is the transpose p calculate /pT/ when x = 0, y = 1 and z = 2

-24

-48

Answer Details

= $| \begin{matrix} 0 & 3 & 0 \\ 2 & 1 & 3 \\ 4 & 2 & 2 \end{matrix} |$
PT = $| \begin{matrix} 0 & 2 & 4 \\ 2 & 1 & 3 \\ 0 & 3 & 2 \end{matrix} |$
/pT/ = $| \begin{matrix} 0 & 2 & 4 \\ 3 & 1 & 3 \\ 0 & 3 & 2 \end{matrix} |$
= 0[2 - 6] - 2[6 - 0] + 4[9 - 0]
= 0 - 12 + 36 = 24

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Matrices And Determinants

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p = ∣∣ ∣∣x302y3424∣∣ ∣∣ | x 3 0 2 y 3 4 2 4 | q = ∣∣ ∣∣x2z3y203z∣∣ ∣∣ | x 2 z 3 y 2 0 3 z | Where pT is the transpose p calculate /pT/ when x = 0, y = 1 and...

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