NDA 2015 Paper 2 | Matrices Question 6 | Mathematics

If $$X = \left[ {\matrix{ 3 & { - 4} \cr 1 & { - 1} \cr } } \right]$$, $$B = \left[ {\matrix{ 5 & 2 \cr { - 2} & 1 \cr } } \right]$$ and $$A = \left[ {\matrix{ p & q \cr r & s \cr } } \right]$$ satisfy the equation AX = B, then the matrix A is equal to

$$\left[ {\matrix{ 7 & {26} \cr 1 & { - 5} \cr } } \right]$$

$$\left[ {\matrix{ 7 & {26} \cr 4 & {17} \cr } } \right]$$

$$\left[ {\matrix{ { - 7} & { - 4} \cr {26} & {13} \cr } } \right]$$

$$\left[ {\matrix{ { - 7} & { - 26} \cr { - 6} & {23} \cr } } \right]$$

NDA 2015 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

Let $$A = \left[ {\matrix{ {x + y} & y \cr {2x} & {x - y} \cr } } \right]$$, $$B = \left[ {\matrix{ 2 \cr { - 1} \cr } } \right]$$ and $$C = \left[ {\matrix{ 3 \cr 2 \cr } } \right]$$. If AB = C, then what is A² equal to?

$$\left[ {\matrix{ 6 & { - 10} \cr 4 & {26} \cr } } \right]$$

$$\left[ {\matrix{ { - 10} & 5 \cr 4 & {24} \cr } } \right]$$

$$\left[ {\matrix{ { - 5} & { - 6} \cr { - 4} & { - 20} \cr } } \right]$$

$$\left[ {\matrix{ { - 5} & { - 7} \cr { - 5} & {20} \cr } } \right]$$

NDA 2015 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If $$E(\theta ) = \left[ {\matrix{ {\cos \theta } & {\sin \theta } \cr { - \sin \theta } & {\cos \theta } \cr } } \right]$$, then E($$\alpha$$) E($$\beta$$) is equal to

E ($$\alpha$$$$\beta$$)

E ($$\alpha$$ $$-$$ $$\beta$$)

E ($$\alpha$$ + $$\beta$$)

$$-$$ E ($$\alpha$$ + $$\beta$$)

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