Home
Class 12
MATHS
For the following matrices verify the...

For the following matrices verify the distributivity of matrix multiplication over matrix addition i.e. `A(B+C)=A B+A C` . `A=[1-1 0 2]` , `B=[-1 0 2 1]` and `C=[0 1 1-1]` (ii) `A=[2-1 1 1-1 2]` , `B=[0 1 1 1]` and `C=[1-1 0 1]` .

Promotional Banner

Similar Questions

Explore conceptually related problems

For the following matrices verify the distributivity of matrix multiplication over matrix addition i.e.A(B+C)=AB+ACA=[1-102],B=[-1021] and C=[011-1]( ii) A=[2-111-12]B=[0111] and C=[1-101]

For the following matrices verify the associativity of matrix multiplication i.e. (A B)C=A(B C)dot A=[1 2 0-1 0 1] , B=[1 0-1 2 0 3] and C=[1-1] (ii) A=[4 2 3 1 1 2 3 0 1] , B=[1-1 1 0 1 2 2-1 1] and C=[1 2-1 3 0 1 0 0 1] .

For the following matrices verify the associativity of matrix multiplication i.e. (A B)C=A(B C)dot A=[(1,2,0),(-1,0 ,1)] , B=[(1,0),(-1,2),(0,3)] and C=[(1),(-1)] .

If A=[1 0-2 3-1 0-2 1 1] , B=[0 5-4-2 1 3-1 0 2] and C=[1 5 2-1 1 0 0-1 1] , verify that A(B-C)=A B-A Cdot

Verify associative law of matrix additions for the matrices : A=[(1,0),(2,-1)],B=[(3,7),(4,8)] and C=[(-1,0),(0,0)] .

Verify associative law of matrx addition for the matrices: A = {:[(1,0),(2,-1)],B= [(3,7),(4,8)] and C = [(-1,0),(0,0)]

If the matrix [(a,b),(c,d)] is commutative with the matrix [(1,1),(0,1)] then

If A=[[1, 0],[ 0, 1]] , B=[[1,0],[0,-1]] and C=[[0, 1],[ 1, 0]] , then show that A^2=B^2=C^2=I_2 .

A = [(1, 0), (0, 1)], B = [(1, 0), (0, -1)] and C = [(0, 1), (1, 0)] , then show that A^(2) = B^(2) = C^(2) = I^(2)

If A=[(1,0,0),(0,1,0),(1,b,0] then A^2 is equal is (A) unit matrix (B) null matrix (C) A (D) -A