Question

Find the coordinate matrix [x]b, given the coordinate matrix [x]b'.

a) [x]b = [x]b'
b) [x]b = [x]b'⁻¹
c) [x]b = [x]b'ᵀ
d) [x]b = [x]b'^2

Answer 1

The correct answer is c) [x]b = [x]b'ᵀ.

Step-by-step explanation:

The correct answer is c) [x]b = [x]b'ᵀ.

The coordinate matrix [x]b represents the coordinates of a vector x in the basis b. The coordinate matrix [x]b' represents the coordinates of the same vector x in a different basis b'.

To find the coordinate matrix [x]b, we use the formula [x]b = [x]b'ᵀ, where [x]b'ᵀ is the transpose of [x]b'.