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Phrases Previous Year Questions (PYQs)

Phrases Matrices PYQ



If A and B are square matrices such that B=A1BA, then (A+B)2 is





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If A is an invertible skew-symmetric matrix, then  is a





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Consider the matrix B=(112011001). The sum of all the entries of the matrix B19 is





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If F(θ)=[cosθsinθ0sinθcosθ0001] , then F(θ)F(α) is equal to





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Let A and B be two square matrices of same order satisfying A2+5A+5I=0 and B2+3B+I=0 repectively. Where I is the identity matrix. Then the inverse of the matrix C=BA+2B+2A+4I is





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Find a matrix X such that 2A + B + X = 0, whose A =  and B = 





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If x, y and z are three cube roots of 27, then  the determinant of the matrix [xyzyzxzxy] is 





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If   and , then f(A)=






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If A=[abcbcacab] , where a,b,c are real positive numbers such that abc=1 and ATA=I then the equation that not holds true among the following is





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If the matrix has an inverse matrix, then the value of K is:





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If f(x)={sin[x][x],[x]00,[x]=0 , where [x] is the largest integer but not larger than x, then lim is





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A matrix M_r is defined as M_r=\begin{bmatrix} r &r-1 \\ r-1&r \end{bmatrix} , r \in N then the value of det(M_1) + det(M_2) +...+ det(M_{2015}) is





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