If A and B are 2 × 2 matrices, then which of the following is true?

For two 2 × 2 matrices, A & B ( A − B ) × ( A + B ) = A × A + A × B − B × A − B × B = A 2 − B 2 + A B − B A Hence, ( A − B ) ( A + B ) = A 2 + A B − B A − B 2

Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesG.P.Medium2 minPYQ_2009

MathematicsMediumsingle choice

If $A$ and $B$ are $2 \times 2$ matrices, then which of the following is true?

Options:

Answer:

Solution:

For two $2 \times 2$ matrices, $A & B$ $(A - B) \times (A + B) = A \times A + A \times B - B \times A - B \times B = A^{2} - B^{2} + A B - B A$ Hence, $(A - B) (A + B) = A^{2} + A B - B A - B^{2}$

Stream:BITSATSubject:MathematicsTopic:Sequence & SeriesSubtopic:G.P.

⏱ 2mℹ️ Source: PYQ_2009

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