Multiplying a Matrix by Another Matrix
Read this topicExplanations 3
- Unlike adding and subtracting matrices, when we multiply matrices, we don't just multiply the corresponding values. When multiplying matrices, we have to multiply each row by ea…
By Jason Chen, Billy Hamilton, Moor Xu, Alex Federspiel, Anusha Rahman
- (Video) Multiplying Matrices by ThinkwellVids Here's a good video by ThinkwellVids showing you how to multiply 2 matrices together.
By Alex Federspiel, 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. Multiplying Two Matrices In this next l…
By Anusha Rahman
Problems 14
- A=[3−524]B=[113−421]A = \begin{bmatrix} 3 & -5 \\ 2 & 4 \end{bmatrix}\\ B = \begin{bmatrix} 1 & 1 & 3 \\ -4 & 2 & 1\end{bmatrix}A=[32−54]B=[1−41231] What is ABABAB?
- True or False\text{True or False}True or False === For any matrix AAA and BBB, AB=BAAB=BAAB=BA.
- Solve [123456]∗[135246]\\\begin{bmatrix}1&2\\3&4\\5&6\end{bmatrix}*\begin{bmatrix}1&3&5\\2&4&6\end{bmatrix}135246∗[123456]
- Solve [320472]∗[357996]\begin{bmatrix}3\\2\\0\\4\\7\\2\end{bmatrix}*\begin{bmatrix}3&5&7&9&9&6\end{bmatrix}320472∗[357996]
- Solve [916848379]∗[916230]\\\begin{bmatrix}9&1&6\\8&4&8\\3&7&9\end{bmatrix}*\begin{bmatrix}9&1&6\\2&3&0\end{bmatrix}983147689∗[921360]
- Solve [916230]∗[916848379]\\\begin{bmatrix}9&1&6\\2&3&0\end{bmatrix}*\begin{bmatrix}9&1&6\\8&4&8\\3&7&9\end{bmatrix}[921360]∗983147689
- Solve [54075327101039]∗[1914]∗[107]\\\begin{bmatrix}5&4&0&7\\5&3&2&7\\10&10&3&9\end{bmatrix}*\begin{bmatrix}1\\9\\1\\4\end{bmatrix}*\begin{bmatrix}10&7\end{bmatrix}5510431002…
- Solve [−42]∗[12]\begin{bmatrix}-4\\2\end{bmatrix}*\begin{bmatrix}1&2\end{bmatrix}[−42]∗[12]
- Solve [−4023]∗[120−3]\begin{bmatrix}-4&0\\2&3\end{bmatrix}*\begin{bmatrix}1&2\\0&-3\end{bmatrix}[−4203]∗[102−3]
- Solve [−401230]∗[120−3−2−5]\begin{bmatrix}-4&0&1\\2&3&0\end{bmatrix}*\begin{bmatrix}1&2\\0&-3\\-2&-5\end{bmatrix}[−420310]∗10−22−3−5
- Solve [−401−4230−2]∗[120−3−2−541]\begin{bmatrix}-4&0&1&-4\\2&3&0&-2\end{bmatrix}*\begin{bmatrix}1&2\\0&-3\\-2&-5\\4&1\end{bmatrix}[−420310−4−2]∗10−242−3−51
- Solve [−401−43230−2−1]∗[120−3−2−54155]\begin{bmatrix}-4&0&1&-4&3\\2&3&0&-2&-1\end{bmatrix}*\begin{bmatrix}1&2\\0&-3\\-2&-5\\4&1\\5&5\end{bmatrix}[−420310−4−23−1]∗10−2452−…
- Solve [−401−43−5230−2−1−1]∗[120−3−2−54155−4−1]\begin{bmatrix}-4&0&1&-4&3&-5\\2&3&0&-2&-1&-1\end{bmatrix}*\begin{bmatrix}1&2\\0&-3\\-2&-5\\4&1\\5&5\\-4&-1\end{bmatrix}[−420310…
- Solve [−401−43−54230−2−1−10]∗[120−3−2−54155−4−14−2]\begin{bmatrix}-4&0&1&-4&3&-5&4\\2&3&0&-2&-1&-1&0\end{bmatrix}*\begin{bmatrix}1&2\\0&-3\\-2&-5\\4&1\\5&5\\-4&-1\\4&-2\end{bmat…