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Adjoint of a Matrix

If I3 is th...

Question

If $I_{3}$ is the identity matrix of order $3$ , then $(I_{3})^{- 1}$ is

A

0

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B

3 I_{3}

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C

I_{3}

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D

Not necessarily exists

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Solution

The correct option is D $I_{3}$
Inverse of identity matrix is matrix itself.

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Similar questions

A

be a square matrix of order

3

whose all entries are

1

I_{3}

be the identity matrix of order

3

. Then the matrix

A - 3 I_{3}

Q. If A is a square matrix of order 3 such that

A^{3} = I a n d (A + I)^{3} + (A - I)^{3} - 6 A = B

where I is identity matrix of order 3, then

Q. If I₃ denotes identity matrix of order 3 × 3, write the value of its determinant.

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 2 2 & 1 & 2 2 & 2 & 1 \end{matrix} ⎤ ⎥ ⎦

A^{2} - 4 A = k I_{3}

, then find the value of

k

I_{3}

is the identity matrix of order

3

]

3 \times 3

A

B,

A + B = 2 B^{'}

3 A + 2 B = I_{3},

B^{'}

is the transpose of

B

I_{3}

3 \times 3

identity matrix. Then :

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