Question

Use the following matrix equation to find the values of c and d which make the equation true.

c[11 2]+d[5 1]=[-56 -11]

*2 is supposed to be under 11, 1 under 5, and -11 under -56.

Answer 1

first multiply the first matrix by c
and the entries in the second matrix by d

Answer 2

add the corresponding components of the matrices

Answer 3

just try c = -1 and d = -9

Answer 4

then set corresponding entries in the matrix in the left side with the right side

Answer 5

hey, -1 and -9 worked thank you

Answer 6

that results two equations with two unknowns

Answer 7

you are basically solving these equations simulataneously

11c + 5d = -56
2c + d = -11