Question on: JAMB Mathematics - 2007
If f (x) = 3x - 2, P = (\begin{pmatrix} 2 & 1 \ -1 & 0 \end{pmatrix}) and I is 2 X 2 identity matrix, evaluate f(P)
A
\(\begin{pmatrix} 6 & 3 \ -3 & 0 \end{pmatrix}\)
B
\(\begin{pmatrix} 2 & 0 \ 0 & 2 \end{pmatrix}\)
C
\(\begin{pmatrix} 8 & 3 \ -3 & 2 \end{pmatrix}\)
D
\(\begin{pmatrix} 4 & 3 \ -3 & -2 \end{pmatrix}\)
Ask EduPadi AI for a detailed answer
Correct Option: D
f(x) = 3x - 2, f(P) = 3p - 2I
= 3(\begin{pmatrix} 2 & 1 \ -1 & 0 \end{pmatrix}) - 2(\begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix}) = (\begin{pmatrix} 6 & 3 \ -3 & 0 \end{pmatrix}) - (\begin{pmatrix} 2 & 0 \ 0 & 2 \end{pmatrix})
= (\begin{pmatrix} 6 & -2 \ -3 & 0 \end{pmatrix})(\begin{pmatrix} 3 & -0 \ 0 & -2 \end{pmatrix}) = (\begin{pmatrix} 4 & 3 \ -3 & -2 \end{pmatrix})
Add your answer
Please share this, thanks!
No responses