A + A^-1 or A - A^-1 for a 2x2 matrix
This type of question, asked 4 times: 20 Apr 2026 S1, 12 May 2026 S1, 19 May 2026 S1, 19 May 2026 S2. All 4 questions below, oldest first.
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Question 1
20 Apr 2026 S1
67Let A=[a11b], where a and b are the roots of the equation x2−4x+2=0. If A+A−1=kI2, then the value of k is ____
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Question 2
12 May 2026 S1
67If A=[sinαcosα−cosαsinα] and S={α:α∈(2π,23π),A+A−1=I}, then α= ...
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Question 3
19 May 2026 S1
70If A=[25−3−7], then A−A−1=
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Question 4
19 May 2026 S2
68The sum of the matrix [25−3−7] and its multiplicative inverse is
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