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nCr Definitions and Properties

If A =[i 0]...

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If A =[i 0] B=[0 i] , where i=square root of [0 -i] [i 0] Minus one,then the correct relation is 1.A+B=0 2.A square=B square 3.A-B=0 4.Asquare+B square=0

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A = (\begin{matrix} i & 0 0 & - i \end{matrix}), B = (\begin{matrix} 0 & - 1 1 & 0 \end{matrix}), C = (\begin{matrix} 0 & i i & 0 \end{matrix})

i = \sqrt{- 1}

, then which one of the following is correct?

A

B

be two square matrices of order

n

with real entries and

A B A - B A B = I

A^{2} B + B^{2} A = 0

I

is the identity matrix), then

Q. Assertion :Let

A = (\begin{matrix} i & 0 0 & i \end{matrix})

B = (\begin{matrix} 0 & - i - i & 0 \end{matrix})

i = \sqrt{- 1}

(A + B) (A - B)

A^{2} - B^{2}

A B = B A

Q. If A is a square matrix such that A² = I, then A⁻¹ is equal to
(a) A + I
(b) A
(c) 0
(d) 2A

A = [\begin{matrix} i & 0 0 & i \end{matrix}]

B = [\begin{matrix} 0 & - i - i & 0 \end{matrix}]

(A + B) (A - B)

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nCr Definitions and Properties

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