Matematika. tolong dong kaka :)tentukan 2PQ + R =

Matematika. tolong dong kaka :)tentukan 2PQ + R =

Jawab:

$left[begin{array}{cc}9&-2\-1&29end{array}right]\\$

Penjelasan dengan langkah-langkah:

$P=left[begin{array}{ccc}2&-1&3\1&4&-2end{array}right];\\\Q=left[begin{array}{ccc}-1&3\1&2\3&-2end{array}right];\\\R=left[begin{array}{cc}-3&2\5&-1end{array}right] ;$

nilai 2PQ + R =

$2left[begin{array}{ccc}2&-1&3\1&4&-2end{array}right]left[begin{array}{ccc}-1&3\1&2\3&-2end{array}right] +left[begin{array}{cc}-3&2\5&-1end{array}right]\\\2left[begin{array}{cc}((2*-1)+(-1*1)+(3*3))&((2*3)+(-1*2)+(3*-2))\((1*-1)+(4*1)+(-2*3))&((1*3)+(4*2)+(-2*-2))end{array}right] +left[begin{array}{cc}-3&2\4&-1end{array}right]\\$

$2left[begin{array}{cc}(-2-1+9)&(6-2-6)\(-1+4-6)&(3+8+4)end{array}right] +left[begin{array}{cc}-3&2\5&-1end{array}right]\\\2left[begin{array}{cc}6&-2\-3&15end{array}right] +left[begin{array}{cc}-3&2\5&-1end{array}right]\\\left[begin{array}{cc}12&-4\-6&30end{array}right] +left[begin{array}{cc}-3&2\5&-1end{array}right]\\$

$left[begin{array}{cc}(12-3)&(-4+2)\(-6+5)&(30-1)end{array}right]\\\left[begin{array}{cc}9&-2\-1&29end{array}right]\\$