taiwan-gsat 2022 Q5

taiwan-gsat · Other · gsat__math-b 5 marks Matrices Matrix Power Computation and Application

Let matrix $A = \left[\begin{array}{cc} 1 & 1 \\ 1 & -1 \end{array}\right]$. If $A^{7} - 3A = \left[\begin{array}{ll} a & b \\ c & d \end{array}\right]$, then which of the following is the value of $a + b + c + d$?
(1) $-8$
(2) $-5$
(3) $5$
(4) $8$
(5) $10$

Let matrix $A = \left[\begin{array}{cc} 1 & 1 \\ 1 & -1 \end{array}\right]$. If $A^{7} - 3A = \left[\begin{array}{ll} a & b \\ c & d \end{array}\right]$, then which of the following is the value of $a + b + c + d$?\\
(1) $-8$\\
(2) $-5$\\
(3) $5$\\
(4) $8$\\
(5) $10$

Paper Questions

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