Find the inverse matrix of begin{bmatrix} 4 & | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let $A = \begin{bmatrix} 4 & 7 \ 1 & 2 \end{bmatrix}$.First,calculate the determinant $|A| = (4 	imes 2) - (7 	imes 1) = 8 - 7 = 1$.Next,find t

Vedclass · Accepted Answer

$\begin{bmatrix} 2 & -7 \ -1 & 4 \end{bmatrix}$

Vedclass · Answer

(A) Let $A = \begin{bmatrix} 4 & 7 \ 1 & 2 \end{bmatrix}$.First,calculate the determinant $|A| = (4 	imes 2) - (7 	imes 1) = 8 - 7 = 1$.Next,find the adjoint matrix $Adj(A)$ by swapping the diagonal elements and changing the signs of the off-diagonal elements:$Adj(A) = \begin{bmatrix} 2 & -7 \ -1 & 4 \end{bmatrix}$.The inverse matrix is given by $A^{-1} = \frac{1}{|A|} Adj(A) = \frac{1}{1} \begin{bmatrix} 2 & -7 \ -1 & 4 \end{bmatrix} = \begin{bmatrix} 2 & -7 \ -1 & 4 \end{bmatrix}$.

Find the inverse matrix of $\begin{bmatrix} 4 & 7 \\ 1 & 2 \end{bmatrix}$.

Similar Questions

Let the matrix $A = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{bmatrix}$ and the matrix $B_{0} = A^{49} + 2A^{98}$. If $B_{n} = \text{Adj}(B_{n-1})$ for all $n \geq 1$,then $\det(B_{4})$ is equal to:

Find the inverse of the matrix,if it exists: $\left[\begin{array}{ccc}2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3\end{array}\right]$

The inverse of matrix $A = \begin{bmatrix} 0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{bmatrix}$ is

The adjoint of $\begin{bmatrix} 1 & 1 & 1 \\ 1 & 2 & -3 \\ 2 & -1 & 3 \end{bmatrix}$ is

Let $A$ be a $3 \times 3$ matrix such that $A \begin{bmatrix} 1 & 2 & 3 \\ 0 & 2 & 3 \\ 0 & 1 & 1 \end{bmatrix} = \begin{bmatrix} 0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \end{bmatrix}$. Then $A^{-1}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module