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Question 7 - Week 8 Practice | Prasnya
Q7
00:00
16 Mar 2025
Q7.
Let
A
=
[
2
7
6
7
3
7
3
7
2
7
−
6
7
6
7
−
3
7
2
7
]
.
A=\begin{bmatrix}\frac{2}{7}&\frac{6}{7}&\frac{3}{7}\\\frac{3}{7}&\frac{2}{7}&-\frac{6}{7}\\\frac{6}{7}&-\frac{3}{7}&\frac{2}{7}\end{bmatrix}.
A
=
7
2
7
3
7
6
7
6
7
2
−
7
3
7
3
−
7
6
7
2
.
Choose the correct option for
A
−
1
A^{-1}
A
−
1
.
A
A
−
1
=
[
2
7
6
7
3
7
3
7
2
7
−
6
7
6
7
−
3
7
2
7
]
A^{-1}=\begin{bmatrix}\frac{2}{7}&\frac{6}{7}&\frac{3}{7}\\\frac{3}{7}&\frac{2}{7}&-\frac{6}{7}\\\frac{6}{7}&-\frac{3}{7}&\frac{2}{7}\end{bmatrix}
A
−
1
=
7
2
7
3
7
6
7
6
7
2
−
7
3
7
3
−
7
6
7
2
B
A
−
1
=
[
4
7
3
7
2
7
2
7
4
7
−
4
7
3
7
−
2
7
4
7
]
A^{-1}=\begin{bmatrix}\frac{4}{7}&\frac{3}{7}&\frac{2}{7}\\\frac{2}{7}&\frac{4}{7}&-\frac{4}{7}\\\frac{3}{7}&-\frac{2}{7}&\frac{4}{7}\end{bmatrix}
A
−
1
=
7
4
7
2
7
3
7
3
7
4
−
7
2
7
2
−
7
4
7
4
C
A
−
1
=
[
2
7
3
7
6
7
6
7
2
7
−
3
7
3
7
−
6
7
2
7
]
A^{-1}=\begin{bmatrix}\frac{2}{7}&\frac{3}{7}&\frac{6}{7}\\\frac{6}{7}&\frac{2}{7}&-\frac{3}{7}\\\frac{3}{7}&-\frac{6}{7}&\frac{2}{7}\end{bmatrix}
A
−
1
=
7
2
7
6
7
3
7
3
7
2
−
7
6
7
6
−
7
3
7
2
D
A
−
1
=
[
2
3
6
6
2
−
3
3
−
6
2
]
A^{-1}=\begin{bmatrix}2&3&6\\6&2&-3\\3&-6&2\end{bmatrix}
A
−
1
=
2
6
3
3
2
−
6
6
−
3
2
Save
Check
Details
Q7
00:00
16 Mar 2025
Q7.
Let
A
=
[
2
7
6
7
3
7
3
7
2
7
−
6
7
6
7
−
3
7
2
7
]
.
A=\begin{bmatrix}\frac{2}{7}&\frac{6}{7}&\frac{3}{7}\\\frac{3}{7}&\frac{2}{7}&-\frac{6}{7}\\\frac{6}{7}&-\frac{3}{7}&\frac{2}{7}\end{bmatrix}.
A
=
7
2
7
3
7
6
7
6
7
2
−
7
3
7
3
−
7
6
7
2
.
Choose the correct option for
A
−
1
A^{-1}
A
−
1
.
A
A
−
1
=
[
2
7
6
7
3
7
3
7
2
7
−
6
7
6
7
−
3
7
2
7
]
A^{-1}=\begin{bmatrix}\frac{2}{7}&\frac{6}{7}&\frac{3}{7}\\\frac{3}{7}&\frac{2}{7}&-\frac{6}{7}\\\frac{6}{7}&-\frac{3}{7}&\frac{2}{7}\end{bmatrix}
A
−
1
=
7
2
7
3
7
6
7
6
7
2
−
7
3
7
3
−
7
6
7
2
B
A
−
1
=
[
4
7
3
7
2
7
2
7
4
7
−
4
7
3
7
−
2
7
4
7
]
A^{-1}=\begin{bmatrix}\frac{4}{7}&\frac{3}{7}&\frac{2}{7}\\\frac{2}{7}&\frac{4}{7}&-\frac{4}{7}\\\frac{3}{7}&-\frac{2}{7}&\frac{4}{7}\end{bmatrix}
A
−
1
=
7
4
7
2
7
3
7
3
7
4
−
7
2
7
2
−
7
4
7
4
C
A
−
1
=
[
2
7
3
7
6
7
6
7
2
7
−
3
7
3
7
−
6
7
2
7
]
A^{-1}=\begin{bmatrix}\frac{2}{7}&\frac{3}{7}&\frac{6}{7}\\\frac{6}{7}&\frac{2}{7}&-\frac{3}{7}\\\frac{3}{7}&-\frac{6}{7}&\frac{2}{7}\end{bmatrix}
A
−
1
=
7
2
7
6
7
3
7
3
7
2
−
7
6
7
6
−
7
3
7
2
D
A
−
1
=
[
2
3
6
6
2
−
3
3
−
6
2
]
A^{-1}=\begin{bmatrix}2&3&6\\6&2&-3\\3&-6&2\end{bmatrix}
A
−
1
=
2
6
3
3
2
−
6
6
−
3
2
Save
Check
Details
