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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-MATRICES -SOLVED PROBLEMS
- Find the additive inverse of A where A = [(i,0,1),(0,-i, 2),(-1,1,5)]
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- If A=[(2,3,1),(6,-1,5)] and B=[(1,2,-1),(0,-1,3)] then find the matrix...
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- IF A=[{:(0,1,2),(2,3,4),(4,5,6):}],B=[{:(1,-2,0),(0,1,-1),(-1,0,3):}] ...
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- if A=[{:(1,2),(3,4):}], B=[{:(3,8),(7,2):}] and 2X+A=B then find X
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- Two factories I and II produce three varieties of pens namely, Gel, Ba...
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- Construct a 3 xx 2 matrix whose elements are defined by a(ij) = 1/2|i ...
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- If A = [(0,1,2),(1,2,3),(2,3,4)], B = [(1,-2),(-1,0),(2,-1)] then find...
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- If A=[(1,-2,3),(2,3,-1),(-3,1,2)] and B=[(1,0,2),(0,1,2),(1,2,0)] then...
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- if A = [(I,0)(0,-i)] then show that A^(2) = -1 (i^(2)=-1).
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- If A = [(cos theta, sin theta),(-sin theta, cos theta)] then show that...
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- IF A=[{:(1,2,2),(2,1,2),(2,2,1):}] then show that A^2-4A-5I=O.
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- IF A=[{:(-2,1,0),(3,4,-5):}] and B=[{:(1,2),(4,3),(-1,5):}] then fin...
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- IF A=[{:(-1,2),(0,1):}] then find AA'. Do A and A' commute with respec...
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- If [(0,4,-2),(-4,0,8),(2,-8,x)] is a skew symmetric matrix then find t...
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- For any n xx n matrix A, prove that A can be uniquely expressed as a s...
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- Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)
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- Show that |{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=2|{:(a,b,c),...
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- Show that |{:(1,a^2,a^3),(1,b^2,b^3),(1,c^2,c^3):}| =(a-b)(b-c)(c-a)(a...
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- find determinant of |(1, omega, omega^(2)),(omega, omega^(2),1),(omega...
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- Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2...
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