Dimensions of a Product Matrix
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- Dimensions of a Product Matrix Matrix multiplication is a necessary part of mathematics and even if it does not seem so now, it can be very fun! But to get to the fun portion, y…
By Clare Burhenne, Brian Burks, Gabi Slizewska, Anusha Rahman
- (Video) Determine the Dimensions of Each Product Matrix by James Elliott This video by James Elliott walks you through a couple of examples of finding the dimensions of a produc…
By Anusha Rahman
- Now that we've learned the basics of the row and column matrix, we can move forward into more complicated types of matrix multiplication. Dimensions of a Product Matrix There ar…
By Anusha Rahman
Problems 8
- Let AAA and BBB be matrices. What is the dimension of ABABAB if A3×1A_{3\times1}A3×1 and B1×6B_{1\times6}B1×6?
- Let AAA and BBB be matrices. What is the dimension of ABABAB if A4×5A_{4\times5}A4×5 and B3×5B_{3\times5}B3×5?
- Let AAA and BBB be matrices. What is the dimension of ABABAB if A2×7A_{2\times7}A2×7 and B7×18B_{7\times18}B7×18?
- Let AAA and BBB be matrices. If A3×6A_{3\times6}A3×6 and AB3×7AB_{3\times7}AB3×7 what is the size of BBB?
- Let AAA and BBB be matrices. If A4×12A_{4\times12}A4×12 and AB4×12AB_{4\times12}AB4×12 what is the size of BBB?
- Select the products that exist. A=[6801] B=[4361] C=[57] D=[82]A=\begin{bmatrix}6&8\\0&1\end{bmatrix}\,B=\begin{bmatrix}4&3\\6&1\end{bmatrix}\,C=\begin{bmatrix}5\\7\end{bmatrix}…
- Select the products that exist. A=[684016487] B=[431612] C=[537022] D=[8235]A=\begin{bmatrix}6&8&4\\0&1&6\\4&8&7\end{bmatrix}\,B=\begin{bmatrix}4&3&1\\6&1&2\end{bmatrix}\,C=\beg…
- Which of the following matrices cannot be multiplied?