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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- On using clementary row operation R1 to R1-3 R2 in the following matr...
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- If matrix A = [a(ij)] (2xx2) where a(ij) {:(-1," if " i !=j ),(=0 , ...
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- If A= [(0,1),(1,0)], then A^(2) equal to
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- A and B are two matrices of the order 3xx m and 3xx n respectively, an...
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- If A = (1)/(pi) [{:(sin^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/...
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- If [(2x+y,4x),(5x-7,4x)]= [ (7,7y-13),(y ,x+6)] , then the value o...
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- Total number of possible symmetric matrices of order 3xx 3, whose entr...
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- If x,y,z are nonzero real number , then the inverse of matrix A= {:[( ...
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- Which of the given values of x and y make the following pair of matric...
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- If A=[(alpha, beta),(gamma, -alpha)] is such that A^(2)=I, then
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- If the matrix A is both symmetric and skew symmetric, then
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- If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to
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- Matrices A and B will be inverse of each other only if
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- If A, B are symmetric matrices of same order, then AB-BA is a
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- If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I, the...
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- Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...
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- If X and Z are of order 2xx n and 2xx p respectively and n=p then, 7 X...
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- Prove that {:|( b+c,a,a), ( b,c+a,b),( c,c,b+a) |:} = 4abc
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- Delta=[[1,1+ac,1+bc],[1,1+ad,1+bd],[1,1+ac, 1+bc]]
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- If (1)/(a)+(1)/(b)+(1)/(c)=0 then |[1+a, 1, 1 ],[1, 1+b, 1],[1,1,1+c]|...
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