Can you divide a matrix?

Question

If i wanted to divide one matrix by another i think i make one an inverse and multiply right?

If it was A/B which one would be the inverse? The numerator or denominator?

Answer 1

"Dividing" matrices is not a term that's ever used, because multiplication of matrices is not commutative (AB and BA can be different)!



So, "A/B" can mean either B^(-1)A or AB^(-1). Does that help?

Answer 2

Dividing Matrices

Answer 3

dividing matrices is not a property of matrices.



Let A, X and B be matrices. Furthermore, Let X be the variable matrix.

AX = B

A*A^(-1) X = A^(-1)*B

IX = A^(-1) * B

X = A^(-1) * B

Answer 4

Open your math book to the section about inverting matrices. Place your graphing calculator on the book so it remains open but your can still see the text. Read the text. Look for something like [A][B] = [C] [A][B][B]^-1 = [C][B]^-1 where [B]^-1 is the inverse of [B] [A] = [C][B]^-1