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CENGAGE PUBLICATION-MATRICES-All Questions
- For alpha, beta, gamma in R, let A=[(alpha^(2),6,8),(3,beta^(2),9),(...
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- Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2...
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- If A=[(1,2),(3,4),(5,6)] and B=[(-3,-2),(1,-5),(4,3)], then find D=[(p...
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- A=[(cos alpha,-sin alpha),(sin alpha,cos alpha)] and A+A^(T)=I, find t...
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- Let A be a square matrix. Then prove that (i) A + A^T is a symmetric m...
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- If A=[(2,-1),(3,1)] and B=[(1,4),(7,2)] , find 3A-2B.
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- Find non-zero values of x satisfying the matrix equation: x[(2x,2),(3,...
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- Let A+2B=[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,...
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- If [(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2)...
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- Prove that every square matrix can be uniquely expressed as the sum of...
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- Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and 11 - n ...
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- If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,3),(4,5),(2,1):}] then prove t...
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- Find the value of x and y that satisfy the equations [(3,-2),(3,0),(2,...
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- Find the values of x ,\ y,\ z if the matrix A=[(0,2y,z), (x, y,-z ),...
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- If A =[[costheta,sintheta],[-sintheta,costheta]] then prove that A^n=[...
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- If A=((p,q),(0,1)), then show that A^(8)=((p^(8),q((p^(8)-1)/(p-1))),(...
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- Let A=[(2,1),(0,3)] be a matrix. If A^(10)=[(a,b),(c,d)] then prove th...
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- Show that the solutions of the equation [(x,y),(z,t)]^2=0 are[(x,y),(...
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- Let A be square matrix. Then prove that A A^(T) and A^(T) A are symmet...
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- If A, B are square materices of same order and B is a skewsymmetric ma...
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