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DETERMINANTS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDETERMINANTS1 Mark
MCQ
Evaluate $ |\text{A}|^2-5|\text{A}|+1,$ if $\text{A}=\begin{bmatrix}7&4\\5&5\end{bmatrix}$ is:
  • A
    161
  • B
    251
  • C
    150
  • ✓
    151
✓

Answer

Correct option: D.
151
Given that, $\text{A}=\begin{bmatrix}7&4\\5&5\end{bmatrix}$
$|\text{A}|=(7(5)-5(4))=35-20=15$

$|\text{A}|^2-5|\text{A}|+1=(15)^2-5(15)+1=225-75+1=151.$

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