Question

8. [0/1 Points] DETAILS LARLINALG8M 6.4.001. Find the matrix $A'$ for $T$ relative to the basis $B'$. $T: \mathbb{R}^2 \to \mathbb{R}^2$, $T(x, y) = (x - 4y, y - x)$, $B' = \{(1, -2), (0, 3)\}$

          8. [0/1 Points]
DETAILS
LARLINALG8M 6.4.001.
Find the matrix $A'$ for $T$ relative to the basis $B'$.
$T: \mathbb{R}^2 \to \mathbb{R}^2$, $T(x, y) = (x - 4y, y - x)$, $B' = \{(1, -2), (0, 3)\}$

$8. [0/1 Points] DETAILS LARLINALG8M 6.4.001. Find the matrix A' for T relative to the basis B'. T: ℝ^2 →ℝ^2, T(x, y) = (x - 4y, y - x), B' = {(1, -2), (0, 3)}$

Added by Kimberly H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert James Kiss

07/06/2022

Step 1

The determinant of a 2x2 matrix is calculated by multiplying the elements on the main diagonal and subtracting the product of the elements on the off-diagonal. det(A1) = (1 * 3) - (-2 * 1) = 3 + 2 = 5 Therefore, the determinant of matrix A1 is 5. Show more…

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