Matrices P and Q are defined by P=
5C%5Cend%7Barray%7D%5Cright%5D" id="TexFormula1" title="\left[\begin{array}{ccc}x&2\\-5&-1\\\end{array}\right]" alt="\left[\begin{array}{ccc}x&2\\-5&-1\\\end{array}\right]" align="absmiddle" class="latex-formula"> and Q=![\left[\begin{array}{ccc}2&-3\\4&y\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C4%26y%5C%5C%5Cend%7Barray%7D%5Cright%5D)
. Where x,y∈R
(a) Given the determinant of P is 2, obtain:
(i) The value of x.
(ii)
(iii)
, where Q' is the transpose of Q.
(b) The matrix R is defined by R=![\left[\begin{array}{ccc}5&-2\\z&-6\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-2%5C%5Cz%26-6%5C%5C%5Cend%7Barray%7D%5Cright%5D)
, where z∈R.
Determine the value of z such that R is singular.
(a) Given the determinant of P is 2, obtain:
(i) The value of x.
(ii)
(iii)
(b) The matrix R is defined by R=
Determine the value of z such that R is singular.
1 answer:
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