InterviewSolution
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InterviewSolution
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Evalute the determinants in queations 1 and 2 : (i) `[{:(costheta,-sintheta),(sintheta,costheta):}|` (ii) `|{:(x^(2),-x+1,x-1),(,x+1,x+1):}|` |
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Answer» (i) `[{:(costheta,-sintheta),(sintheta,costheta):}]=cos^(2)theta-(-0sin^(2)theta)` `cos^(2)theta+sin^(2)theta=1` (ii) `|{:(x^(2),-x+1,x-1),(,x+1,x+1):}|` `(x^(2)-x+1)(x+1)-(x+1)(x-1)` `=(x+1)(x^(2)-x+1-1)` `=x^(3)+x^(2)-2x^(2)-2x+2x+2` `=x^(3)-x^(2)2` |
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