*Singular & Non-Singular matrix: - A Square matrix A is said to be Singular if JAI = 0 Non-Singular if 1A1 ≠ 0 and.
Examples: * Ex
A=2-13 41-3 1
state A is singular or non- singular.
A = 2-13 41-3 0-11
= 2(1-3)+1(4-0)+3(-4-0)
A1 = -12 1A1 ≠ 0
Hence, A is Non- Singular matrix.
2547, B=5-347 ②14 A= 5
show that, AB is non- singular.
⇒ = 547-34 43 $4 43
20-20
-12+12 16-15
AB=[]
If A=-2 1 23
B=01 23
show that AB is non. singular.
AB = 1 -20 1 17. 23.
10 23
x 3
0+0+1 0+4+3
-2+0+1 1+6+3
.: AB = 1-1
7 10
(AB) =
= 10+7
AB=17
JAB +0
Hence, AB is non-singular matrix.
18 A = 23-1-
B=-11
50
23 40
state AB is singular or non- singular..
4010
=-2+6-4 1-4+10+0
2+9+0 4+15+0
AB = [ 19
AB1 = 6 19
0-66
AB/=-66
AB #0
AB is non-singular matrix.
H.W
state A=3-34 2-3 4 0-11
is singular or non- singulan?
B=-75 1-43 state ABB Singular or non- sirgulan.