यदि A=[{:(1,0),(0,1):}]और B=[{:(a,c),(b,d):}], तो दिखाओ कि(AB)\&# 39;=बी\'ए\' | 12 | मैट्रिक्स | गणित...

if A=[{:(1,0),(0,1):}]and B=[{:(a,c),(b,d):}], then show that (AB)'=B'A'

if A=[{:(2,-3),(1,4):}],B=[{:(-1,0),(1,2):}], C=[{:(3,1),(1,2):}] , then show that A (BC)=(AB)c.

If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}] , verfity (i) A(B+C)=AB+AC.

If ({:(1, 0),(0, 1):})({:(a, b+c),(b-c, d):}) = ({:(4, -5),(3, 2):}) , then (a-b) + (c-d)=____.

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

if A=[(1,2),(3,4):}],B=[{:(-1,0),(2,3):}]and C=[{:(1,-1),(0,1):}], then show that : (i) A(B+C)=AB+AC (ii) (A-B)C=AC-BC.

Verify that A(B+C)=(AB+AC), when (i) A=[{:(1,2),(3,4):}],B=[{:(2," "0),(1,-3):}]" and "C=[{:(1,-1),(0," "1):}]. (ii) A=[{:(2,3),(-1,4),(0,1):}],B=[{:(5,-3),(2," "1):}]" and "C=[{:(-1,2),(" "3,4):}].

If A=[(1,0,),(2,0)] and B=[(0,0),(1,12)] then= (A) AB=0, BA=0 (B) AB=0,BA!=0 (C) AB!=0,BA=0 (D) AB!=0,BA!=)

If =(0,1)B=(1,0),C=(1,2),D=(2,1) ,prove that vec AB=vec CD

4, 9, 19, 39, 79, 160, 319 (a) 319 (b) 160 (c) 79 (d) 39