The discussion focuses on the composition of matrices, specifically the operation J○H, where J is a 3x2 matrix and H is a 2x4 matrix. The user seeks clarification on whether matrix composition is equivalent to matrix multiplication. The consensus is that matrix composition is indeed the same as matrix multiplication, provided the matrices are conformable, meaning they have compatible dimensions for multiplication. The final goal is to simplify the expression z = J○Hx, resulting in a 3x1 matrix z.
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calcuseless said:Homework Statement
J represents a 3x2 matrix and H represents and 2x4 matrix. y = Hx and z = Jy, where y is a 2x1 matrix, z is a 3x1 matrix, and x is a 4x1 matrix. Form the composition J○H and simplify z = J○Hx.
The Attempt at a Solution
I don't know what my answer is going to look like because I don't know what a composition of matrices represents. Is it the same as matrix multiplication?