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Science (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

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Find the inverse by using elementary row transformations:

\[\begin{bmatrix}2 & 0 & - 1 \\ 5 & 1 & 0 \\ 0 & 1 & 3\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse by using elementary row transformations:

\[\begin{bmatrix}2 & 3 & 1 \\ 2 & 4 & 1 \\ 3 & 7 & 2\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

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Find the inverse by using elementary row transformations:

\[\begin{bmatrix}3 & - 3 & 4 \\ 2 & - 3 & 4 \\ 0 & - 1 & 1\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse by using elementary row transformations:

\[\begin{bmatrix}1 & 2 & 0 \\ 2 & 3 & - 1 \\ 1 & - 1 & 3\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse by using elementary row transformations:

\[\begin{bmatrix}2 & - 1 & 3 \\ 1 & 2 & 4 \\ 3 & 1 & 1\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse by using elementary row transformations:

\[\begin{bmatrix}1 & 1 & 2 \\ 3 & 1 & 1 \\ 2 & 3 & 1\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse by using elementary row transformations:

\[\begin{bmatrix}2 & - 1 & 4 \\ 4 & 0 & 7 \\ 3 & - 2 & 7\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse by using elementary row transformations:

\[\begin{bmatrix}3 & 0 & - 1 \\ 2 & 3 & 0 \\ 0 & 4 & 1\end{bmatrix}\]    

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse by using elementary row transformations:

\[\begin{bmatrix}1 & 3 & - 2 \\ - 3 & 0 & - 1 \\ 2 & 1 & 0\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse by using elementary row transformations:

\[\begin{bmatrix}- 1 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

If adj \[A = \begin{bmatrix}2 & 3 \\ 4 & - 1\end{bmatrix}\text{ and adj }B = \begin{bmatrix}1 & - 2 \\ - 3 & 1\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

If A is symmetric matrix, write whether AT is symmetric or skew-symmetric.

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

If A is a square matrix, then write the matrix adj (AT) − (adj A)T.

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

If A is a non-singular symmetric matrix, write whether A−1 is symmetric or skew-symmetric.

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

If \[A = \begin{bmatrix}\cos \theta & \sin \theta \\ - \sin \theta & \cos \theta\end{bmatrix}\text{ and }A \left( adj A = \right)\begin{bmatrix}k & 0 \\ 0 & k\end{bmatrix}\], then find the value of k.

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

If A is an invertible matrix such that |A−1| = 2, find the value of |A|.

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

If \[A = \begin{bmatrix}2 & 3 \\ 5 & - 2\end{bmatrix}\] be such that \[A^{- 1} = k A,\]  then find the value of k.

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse of the matrix \[\begin{bmatrix}3 & - 2 \\ - 7 & 5\end{bmatrix} .\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find the inverse of the matrix \[\begin{bmatrix} \cos \theta & \sin \theta \\ - \sin \theta & \cos \theta\end{bmatrix}\]

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

If \[A = \begin{bmatrix}1 & - 3 \\ 2 & 0\end{bmatrix}\], write adj A.

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined
< prev  3201 to 3220 of 8966  next > 
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