If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2...

If `A[{:(3,-4),(1,1),(2,0):}]` and `B=[{:(2,1,2),(1,2,4):}]` and `B=[{:(4,1),(2,3),(1,2):}]`

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To solve the problem, we need to find the products of the matrices \( AB \) and \( BA \) given the matrices: \[ A = \begin{pmatrix} 3 & -4 \\ 1 & 1 \\ 2 & 0 \end{pmatrix}, \quad B = \begin{pmatrix} 2 & 1 & 2 \\ 1 & 2 & 4 \end{pmatrix} \] ### Step 1: Check the possibility of multiplication \( AB \) ...

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Find AB and BA if exists from the following matrices A and B: (i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}] (ii) A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}] (iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]

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

If A=[{:(,1,4),(,2,1):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,1,0),(,0,2):}] simplify : A^2+BC .

if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]and c=[{:(4,1,2),(0,3,2),(1,-2,3):}], then compure (A+B) and (B-C), Also , verify that A+(B-C)=(A+B)-C.

if A=[{:(4,0,-3),(1,2,0):}]and B=[{:(2,1),(1,-2),(3,4):}]' then find AB and BA.

Let A=[{:(,2,1),(,0,-2):}], B=[{:(,4,1),(,-3,-2):}] and C=[{:(,-3,2),(,-1,4):}] . Find A^2+AC-5B .

if A=[{:(1,2,-5),(-3,4,6):}]and B[{:(-2,3,-4),(1,2,3):}]' then find 2A+B.

If A=[{:(,1),(,2),(,3):}]and B =[{:(,-5,4,0),(,0,2,-1),(,1,-3,2):}]"then AB"

If A=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1),(2,3),(1,2):}] Find AB and BA ( if it exist)

if A=[{:(4,2),(-3,2),(1,3):}]and B=[{:(-1,3),(0,2),(2,-4):}], then find 3A-4B.

NCERT EXEMPLAR ENGLISH-MATRICES-Solved example

if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?
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FindA, if [{:(4),(1),(3):}]A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]
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If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1...
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If A=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1),(2,3),(1,2):}] Find AB and B...
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Give an example of two non-zero 2xx2 matrices A and B such that A B...
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Given A=[{:(2,4,0),(3,9,6):}] "and" B=[{:(1,4),(2,8),(1,3):}], is (AB)...
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Solve for x and y , x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=0.
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If X and Y are 2xx2 matrices, then solve the following matrix equat...
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If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.
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Give an example of three matrices A ,\ B ,\ C such that A B=A C but...
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If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}],...
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If P=[x0 0 0y0 0 0z] and Q=[a0 0 0b0 0 0c] , prove that P Q=[x a0 0 0y...
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If [2 1 3] [{:(-1,0,-1),(-1,1,0),(0,1,1):}][{:(1),(0),(-1):}]=A, then ...
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If A=[{:(2, 1,),(4,2,)],B =[{:(2,3,4),(1,4,0):}] and C=[{:(-1,2,1),(1,...
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If A=[{:(1,0,-1),(2,1,3),(0,1, 1):}] then verify that A^(2)+A=A(A+I) ,...
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If A=[{:(0,-1,2),(4,3,-4):}] and B=[{:(4,0),(1,3),(2,6):}] then verify...
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If A=[{:(1,2),(4,1),(5,6):}] and B=[{:(1,2),(6,4),(7,3):}], then varif...
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Show that A' A and A A' are both symmetric matrices for any matrix A.
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Let A and B be square matrices of the order 3xx3 . Is (A B)^2=A^2B^...
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Show that , if A and B are square matrices such that AB=BA, then (A+B)...
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