The problem gives a matrix $R = \begin{bmatrix} 2 & 1 \\ -3 & 4 \end{bmatrix}$ and asks to compute something. However, the specific calculation requested is not visible in the given image.

Linear AlgebraMatrixDeterminant2x2 Matrix
2025/5/6

1. Problem Description

The problem gives a matrix R=[2134]R = \begin{bmatrix} 2 & 1 \\ -3 & 4 \end{bmatrix} and asks to compute something. However, the specific calculation requested is not visible in the given image.

2. Solution Steps

Since the calculation is not visible, let's assume we are asked to compute the determinant of RR.
The determinant of a 2x2 matrix [abcd]\begin{bmatrix} a & b \\ c & d \end{bmatrix} is given by adbcad - bc.
Therefore, the determinant of RR is:
det(R)=(2)(4)(1)(3)det(R) = (2)(4) - (1)(-3)
det(R)=8(3)det(R) = 8 - (-3)
det(R)=8+3det(R) = 8 + 3
det(R)=11det(R) = 11

3. Final Answer

Assuming we were asked to find the determinant of R, the answer is 11.