Dimensions matching Rows times Columns

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Dimensions matching Rows times Columns 4.3 Multiplying Matrices Dimensions matching Rows times Columns

The end of one matrix and the begin of the other matrix must match up When multiplying two matrices (A and B) the dimension of A must end and the dimension of B must start with the same number.

The resulting matrix dimension come from multiplying The answer comes from the beginning of one matrix and the end of the other. Let matrix C dimensions be 3 X 2 and matrix D dimensions be 2 X 5. When multiplying the matrix C times matrix D, the answer is a matrix with a dimension of 3 X 5. answers dimensions 3 X 2 times 2 X 5 must have

Order matters One of the big rules in multiplying matrices. A * B ≠ B * A even if the dimensions match.

Rows times Columns Ever element in a row is added to the multiplication of every element in the column. A B = AB

Ok, so that is how easy it is. Yes and No. Not all matrices are 2 X 2. Same way row element times column element, then added to the next row element times column element, till out of elements, then next column

Rows times columns Take you time

Rows times columns Take you time =

Is order really important Not the same.

Find A(B + C)

Find A(B + C)

Find A(B + C)

Find A(B + C)

Find AB + AC Same as A(B + C)