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- If S is a real skew-symmetric matrix, then prove that I-S is non-si...
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- If B and C are non-singular matrices and O is null matrix, then show t...
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- Find the possible square roots of the two rowed unit matrix I.
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- If A=\begin{bmatrix} 1 & 2 & 2\\ 2 & 1 & 2\\ 2 & 2 & 1 \end{bmatrix} ,...
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- Let M be a 3xx3 matrix satisfying M[[0], [1] ,[0]]=[[-1], [2], [3]]...
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- If A is unimodular, then which of the following is unimodular? a. -A ...
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- Consider three matrices A=[(2,1),(4,1)], B=[(3,4),(2,3)] and C=[(3,-4)...
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- If A B=Aa n dB A=B , then which of the following is/are true? A is ide...
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- If A=[[1,-1],[ 2, 1]],B=[[a,1],[b,-1]]a n d(A+B)^2=A^2+B^2+2A B ,t h e...
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- Let Aa n dB be two nonsingular square matrices, A^T a n dB^T are the t...
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- If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then ...
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- If A is a matrix such that A^2+A+2I=Odot, the which of the following i...
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- If A(theta)=[[sintheta, icostheta], [icostheta, sintheta]] , then whic...
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- If |(1,-t a ntheta),(t a ntheta,1)| |(1,t a ntheta),(-t a ntheta,1)|^-...
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- If A=[[3,-3, 4], [2,-3, 4], [0,-1, 1]] , then a. a d j(a d j A)=A b. |...
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- If [[alpha, beta], [gamma, -alpha]] is to be square root of two-rowed ...
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- If A=[a("ij")](4xx4), such that a("ij")={(2",","when "i=j),(0",","when...
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- Statement 1: Let A ,B be two square matrices of the same order such th...
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- If the matrices, A ,B ,(A+B) are non-singular, then prove that [A(A+B)...
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- Let A and B be two 2xx2 matrices. Consider the statements (i) A B=0 ...
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