Mathematics, 28.06.2019 18:50 20emmanuelg1030
Use the following matrices, a, b, c and d to perform each operation. a = |3 1| |5 7| b = |4 1| |6 0| c = |-2 3 1| |-1 0 4| d = |-2 3 4| |0 -2 1| |3 4 -1| 1. a + b 2. b - a 3. 3c 4. cd 5. 2d + 3c
Answers: 1
![A=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]](/tpl/images/0028/1626/b8dd6.png)
![B=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]](/tpl/images/0028/1626/9fb8a.png)
![C=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]](/tpl/images/0028/1626/082bb.png)
![D=\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]](/tpl/images/0028/1626/ff9f2.png)
![1.\\A+B=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]+\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]=\left[\begin{array}{ccc}3+4&1+1\\5+6&7+0\end{array}\right]=\left[\begin{array}{ccc}7&2\\11&7\end{array}\right]](/tpl/images/0028/1626/e01c1.png)
![2.\\B-A=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]-\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]=\left[\begin{array}{ccc}4-3&1-1\\6-5&0-7\end{array}\right]=\left[\begin{array}{ccc}1&0\\1&-7\end{array}\right]](/tpl/images/0028/1626/aabef.png)
![3.\\3C=3\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]=\left[\begin{array}{ccc}(3)(-2)&(3)(3)&(3)(1)\\(3)(-1)&(3)(0)&(3)(4)\end{array}\right]=\left[\begin{array}{ccc}-6&9&3\\-3&0&12\end{array}\right]](/tpl/images/0028/1626/5976d.png)
![4.\\C\cdot D=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]\cdot\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]\\\\=\left[\begin{array}{ccc}(-2)(-2)+(3)(0)+(1)(3)&(-2)(3)+(3)(-2)+(1)(4)&(-2)(4)+(3)(1)+(1)(-1)\\(-1)(-2)+(0)(0)+(4)(3)&(-1)(3)+(0)(-2)+(4)(4)&(-1)(4)+(0)(1)+(4)(-1)\end{array}\right]\\=\left[\begin{array}{ccc}7&-8&-6\\14&13&-8\end{array}\right]](/tpl/images/0028/1626/ce9e2.png)
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Use the following matrices, a, b, c and d to perform each operation. a = |3 1| |5 7| b = |4 1| |6 0|...
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