Multiplying a Matrix by a Vector
Read this topicExplanations 4
- A vector is just a matrix that is 1×n1\times n1×n or m×1m\times1m×1. So in order to multiply you just need to do the same thing as when you multiply two matrices together. Examp…
By Alex Federspiel
- Multiplying a 2×22\times22×2 matrix by a 2×12\times12×1 vector will ALWAYS give you a 2×12\times12×1 vector. Example Let A=[abcd]A=\begin{bmatrix}a&b\\c&d\end{bmatrix}A=[acbd]…
By Alex Federspiel
- (Video) Multiply a Matrix and Vector by giant_neural_network This video by giant_neural_network teaches you how to multiply a matrix and vector together. Summary We're given a m…
By Anusha Rahman
- Multiplying a Matrix by a Vector Now that we've learned the basics of the row and column matrix, we can move forward into more complicated types of matrix multiplication. In thi…
By Anusha Rahman
Problems 14
- True or False\text{True or False}True or False === Multiplying a vector by a vector always results in a vector.
- Solve [036]∗[9938104629]\begin{bmatrix}0&3&6\end{bmatrix}*\begin{bmatrix}9&9&3\\8&10&4\\6&2&9\end{bmatrix}[036]∗9869102349
- Solve [0342]∗[63]\begin{bmatrix}0&3\\4&2\end{bmatrix}*\begin{bmatrix}6\\3\end{bmatrix}[0432]∗[63]
- Solve [xyz]∗[598−502]\begin{bmatrix}x&y&z\end{bmatrix}*\begin{bmatrix}5&9\\8&-5\\0&2\end{bmatrix}[xyz]∗5809−52
- Solve [abcdefghi]∗[123]\begin{bmatrix}a&b&c\\d&e&f\\g&h&i\end{bmatrix}*\begin{bmatrix}1\\2\\3\end{bmatrix}adgbehcfi∗123
- Which of the following values of xxx, yyy, and zzz would make this equation true? [782]∗[x33−2y272z−5−10]=[12727752]\\\begin{bmatrix}7&8&2\end{bmatrix}*\begin{bmatrix}x&3&3&-2\\…
- Solve for xxx, yyy, and zzz. [x13y80z−10−1]∗[10−14]=[51−78−56]\begin{bmatrix}x&1&3\\y&8&0\\z&-10&-1\end{bmatrix}*\begin{bmatrix}10\\-1\\4\end{bmatrix}=\begin{bmatrix}51\\-78\\-5…
- Solve [−63−100]∗[−81]\begin{bmatrix}-6&3\\-10&0\end{bmatrix}*\begin{bmatrix}-8\\1\end{bmatrix}[−6−1030]∗[−81]
- Solve [−88−10−10]∗[−1−6]\begin{bmatrix}-8&8\\-10&-10\end{bmatrix}*\begin{bmatrix}-1\\-6\end{bmatrix}[−8−108−10]∗[−1−6]
- Solve [5108−8]∗[−3−7]\begin{bmatrix}5&10\\8&-8\end{bmatrix}*\begin{bmatrix}-3\\-7\end{bmatrix}[5810−8]∗[−3−7]
- Solve [22−9−7]∗[−3−9]\begin{bmatrix}2&2\\-9&-7\end{bmatrix}*\begin{bmatrix}-3\\-9\end{bmatrix}[2−92−7]∗[−3−9]
- Solve [−4213]∗[99]\begin{bmatrix}-4&2\\1&3\end{bmatrix}*\begin{bmatrix}9\\9\end{bmatrix}[−4123]∗[99]
- Solve [785−10]∗[10]\begin{bmatrix}7&8\\5&-10\end{bmatrix}*\begin{bmatrix}1\\0\end{bmatrix}[758−10]∗[10]
- Solve [26−9−7]∗[47]\begin{bmatrix}2&6\\-9&-7\end{bmatrix}*\begin{bmatrix}4\\7\end{bmatrix}[2−96−7]∗[47]