Question

The inverse of a 2x2 matrix [a b; c d] is given by the formula 1/(ad - bc) [__________, __________; __________, __________].

A) d, -b
B) -a, c
C) -d, b
D) a, -c

Answer 1

The inverse of a 2x2 matrix [a b; c d] is given by the formula 1/(ad - bc) [d, -b; -c, a].

Step-by-step explanation:

The inverse of a 2x2 matrix [a b; c d] is given by the formula 1/(ad - bc) [d, -b; -c, a].

To find the inverse of a 2x2 matrix, follow these steps:

1. Multiply the top left and bottom right elements (ad) and subtract the product of the bottom left and top right elements (bc).
2. Take the reciprocal of the result obtained in step 1.
3. Swap the top left and bottom right elements, and change the sign of the top right and bottom left elements.

In this case, the inverse of the matrix [a b; c d] is 1/(ad - bc) [d, -b; -c, a].