Solve the following equation by matrix inversion.

\(\begin{pmatrix}2&3\\10&16\end{pmatrix}\) \(\begin{pmatrix}x\\y\end{pmatrix}\) = \(\begin{pmatrix}1\\2\end{pmatrix}\)

\(\begin{pmatrix}8\\-5\end{pmatrix}\)

\(\begin{pmatrix}5\\-3\end{pmatrix}\)

\(\begin{pmatrix}6\\-7\end{pmatrix}\)

\(\begin{pmatrix}9\\-5\end{pmatrix}\)

Find inverse of the following matrix?

\(\begin{bmatrix}1&-1&1\\1&1&1\\1&2&4\end{bmatrix}\)

1/6 \(\begin{bmatrix}1&-1&1\\1&1&1\\1&2&4\end{bmatrix}\)

1/6 \(\begin{bmatrix}1&1&1\\5&-1&6\\1&6&4\end{bmatrix}\)

1/6 \(\begin{bmatrix}1&-1&1\\8&1&6\\1&2&4\end{bmatrix}\)

1/6 \(\begin{bmatrix}1&1&1\\0&-1&1\\1&3&4\end{bmatrix}\)

Explore topic-wise MCQs in Numerical Methods Questions and Answers.

This section includes 2 Mcqs, each offering curated multiple-choice questions to sharpen your Numerical Methods Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.	Solve the following equation by matrix inversion.
A.	\(\begin{pmatrix}2&3\\10&16\end{pmatrix}\) \(\begin{pmatrix}x\\y\end{pmatrix}\) = \(\begin{pmatrix}1\\2\end{pmatrix}\)
B.	\(\begin{pmatrix}8\\-5\end{pmatrix}\)
C.	\(\begin{pmatrix}5\\-3\end{pmatrix}\)
D.	\(\begin{pmatrix}6\\-7\end{pmatrix}\)
E.	\(\begin{pmatrix}9\\-5\end{pmatrix}\)
Answer» C. \(\begin{pmatrix}5\\-3\end{pmatrix}\)

Discussion

2.	Find inverse of the following matrix?
A.	\(\begin{bmatrix}1&-1&1\\1&1&1\\1&2&4\end{bmatrix}\)
B.	1/6 \(\begin{bmatrix}1&-1&1\\1&1&1\\1&2&4\end{bmatrix}\)
C.	1/6 \(\begin{bmatrix}1&1&1\\5&-1&6\\1&6&4\end{bmatrix}\)
D.	1/6 \(\begin{bmatrix}1&-1&1\\8&1&6\\1&2&4\end{bmatrix}\)
E.	1/6 \(\begin{bmatrix}1&1&1\\0&-1&1\\1&3&4\end{bmatrix}\)
Answer» B. 1/6 \(\begin{bmatrix}1&-1&1\\1&1&1\\1&2&4\end{bmatrix}\)

Discussion