# 1.4.6,8 create a vector equation

#### karush

##### Well-known member
$$\left[\begin{array}{rrr} 2&-3\\ 3&2\\ 8&-5\\ -2&1 \end{array}\right] \left[\begin{array}{rrr} -3\\5 \end{array}\right] =\left[\begin{array}{rrrrr} -21\\1\\-49\\11 \end{array}\right]$$
do they want $x_1[ ]+x_2[ ]+x_3[ ]+x_4[ ]$
cant seen to find example for this

#### karush

##### Well-known member
$$\left[\begin{array}{rl} 2\cdot (-3)&+(-3)\cdot 5\\ 3\cdot (-3)&+2\cdot 5\\ 8\cdot (-3)&+(-5)\cdot 5\\ -2\cdot (-3)&+1\cdot 5 \end{array}\right ] =\left[\begin{array}{rl} -6&-15\\ -9&+10\\ -24&+25\\ 6&+5 \end{array}\right]$$

#### karush

##### Well-known member
or
$$-3\left[\begin{array}{r} 2\\3\\8\\-2 \end{array}\right] +5\left[\begin{array}{r} -3\\2\\-5\\1 \end{array}\right] =\left[\begin{array}{rrrrr} -21\\1\\-49\\11 \end{array}\right]$$

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