Solution in the attachment.
![\det\left[\begin{array}{ccc}4&2&-3\\5&-6&1\\0&2&-1\end{array}\right]=4\cdot\left|\begin{array}{ccc}-6&1\\2&-1\end{array}\right|-2\cdot\left|\begin{array}{ccc}5&1\\0&-1\end{array}\right|-3\cdot\left|\begin{array}{ccc}5&-6\\0&2\end{array}\right|](https://tex.z-dn.net/?f=%20%5Cdet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%262%26-3%5C%5C5%26-6%261%5C%5C0%262%26-1%5Cend%7Barray%7D%5Cright%5D%3D4%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D-6%261%5C%5C2%26-1%5Cend%7Barray%7D%5Cright%7C-2%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%261%5C%5C0%26-1%5Cend%7Barray%7D%5Cright%7C-3%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%26-6%5C%5C0%262%5Cend%7Barray%7D%5Cright%7C%20)
The different colours that has been used is red, yellow and blue and the number of central squares is = 73 boxes
<h3>The Mondrian's work</h3>
The First division that was divided into 9 equal parts has = 1 coloured red.
The second division is 8 remaining
uncoloured squares into 9 equal squares = 8×9= 72boxes
The number of boxes that was coloured yellow =8 boxes
The remaining uncolored boxes which is = 72 - 8 = 64 boxes
The third division is the division of each remaining uncolored boxes into 9. That is 64 × 9 = 576
The number of boxes that was coloured blue = 64 boxes
Therefore the number of central squares that has been coloured = 1 + 8 + 64
= 73 boxes
Learn more about colours here:
brainly.com/question/8956971
