CoormaBak9

2020-12-16

Compute the following

a)

b)

c)

Gennenzip

Skilled2020-12-17Added 96 answers

Part (a)

Given:

$\left[\begin{array}{cccccc}-5& -4& 3& -10& -3& 6\\ 6& -10& 5& 9& 4& -1\end{array}\right]+\left[\begin{array}{cccccc}-7& 3& 10& 0& 8& 8\\ 8& 0& 4& -3& -8& 0\end{array}\right]$

By using matrix addition

$\left[\begin{array}{cccccc}-5& -4& 3& -10& -3& 6\\ 6& -10& 5& 9& 4& -1\end{array}\right]+\left[\begin{array}{cccccc}-7& 3& 10& 0& 8& 8\\ 8& 0& 4& -3& -8& 0\end{array}\right]$

$=\left[\begin{array}{cccccc}-5+(-7)& -4+3& 3+10& -10+0& -3+8& 6+8\\ 6+8& -10+0& 5+4& 9+(-3)& 4+(-8)& -1+0\end{array}\right]$

$\left[\begin{array}{cccccc}-12& -1& 13& -10& 5& 14\\ 14& -10& 9& 6& -4& -1\end{array}\right]$

Part (b)

Given:

$-5\left[\begin{array}{ccc}8& -10& 7\\ 0& -9& 7\\ 10& -5& -10\\ 1& 5& -10\end{array}\right]$

Using scalar multiplication of matrices.

$-5\left[\begin{array}{ccc}8& -10& 7\\ 0& -9& 7\\ 10& -5& -10\\ 1& 5& -10\end{array}\right]=\left[\begin{array}{ccc}-5(8)& -5(-10)& -5(7)\\ -5(0)& -5(-9)& -5(7)\\ -5(10)& -5(-5)& -5(-10)\\ -5(1)& -5(5)& -5(-10)\end{array}\right]$

$\left[\begin{array}{ccc}-40& 50& -35\\ 0& 45& -35\\ -50& 25& 50\\ -5& -25& 50\end{array}\right]$

Part (c)

Given:

${\left[\begin{array}{ccc}3& 0& -8\\ 6& -4& -2\\ 6& 0& -8\\ -9& -7& -7\end{array}\right]}^{T}$

Transpose of a matrix is obtained by flipping matrix along diagonal,

${\left[\begin{array}{ccc}3& 0& -8\\ 6& -4& -2\\ 6& 0& -8\\ -9& -7& -7\end{array}\right]}^{T}=\left[\begin{array}{cccc}3& 6& 6& -9\\ 0& -4& 0& -7\\ -8& -2& -8& -7\end{array}\right]$

Given:

By using matrix addition

Part (b)

Given:

Using scalar multiplication of matrices.

Part (c)

Given:

Transpose of a matrix is obtained by flipping matrix along diagonal,

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