What is a singular matrix? How to solve?

0 ⤊

What is a singular matrix? How to solve?

Given that P =
(a 2
8 a)
is a singular matrix, find the value(s) of a.

2006-12-05 00:56:16 · 0 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

0 answers

a singular matrix is a matrix whose determinant is '0'!!
so ur answer is.........

(a*a-2*8)= 0
=> a^2-8=0
=>a^2=8
=>a=square root of 8!

the answer has both positive and negative value!!
so answer is +sqrt(8),-sqrt(8) !!!!!!!

2006-12-05 01:18:37 · answer #1 · answered by regs 2 · 0⤊ 0⤋

In a singular matrix, product of the diagonal elements is equal to the determinant of the matrix.

2006-12-05 01:16:44 · answer #2 · answered by ashwin_hariharan 3 · 0⤊ 0⤋