Question

linear question
The set B={[1000],[0010],[0100],[0001]} is called the standard basis of the space of 2×2 matrices.
Find the coordinates of M=[0−3−3−7] with respect to this basis.

Answer 1

i cant find the 3rd number i thought it was y=23/2 but i keep getting it wrong ,the first 2 numbers i got them right

Answer 2

Just apply each 2x2 standard basis vector to your Matrix and then check for the coefficients, I will do one for you

Answer 3

is the photo the problem described?