Question
If A = [1] , then A is:
- Zero matrix
- SIngular matrix
- Non - singular matrix
- Data insufficient
Solution:
$\text{A} = \big[1\big] $ is an identity matrix with order $1\times1.|\text{A}|\neq0$
So A is nonsingular.
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$(i)$ for $p \geqslant 0$ , $f(x) = 0$ has one negative root and $f(x)$ is monotonic
$(ii)$ for $-1 < p < 0$ , $f(x)$ = $0$ has one negative root and $f(x)$ is nonmonotonic
$(iii)$ for $p < 0$ , $f(x)$ = $0$ has three real and distinct roots.