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NCERT TAMIL-MATRICES-Miscellaneous Exercise on Chapter 3
- Construct a 3xx2 matrix whose elements are given by a(ij)=(1)/(2)|i-3j...
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- Let A=[(0,1),(0,0)], show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA, where I ...
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- If A=[(1,1,1),(1,1,1),(1,1,1)], prove that A^(n)=[(3^(n-1),3^(n-1),3^(...
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- If A=[(3,-4),(1,-1)], then prove that A^(n)=[(1+2n,-4n),(n,1-2n)], whe...
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- If A and B are symmetric matrices, prove that AB-BA is a skew symmetri...
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- Show that the matrix B'AB is symmetric or skew symmetric according as ...
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- Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,...
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- For what values of x:[(1,2,1)][(1,2,0),(2,0,1),(1,0,2)][(0),(2),(x)]=O...
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- If A= {:[( 3,1),( -1,2) ]:} Show that A^(2) -5A +7I=O.Hence find A^(...
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- Find x, if [(x, -5, -1)][(1,0,2),(0,2,1),(2,0,3)][(x),(4),(1)]=O
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- A manufacturer produces three products x, y, z which he sells in two m...
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- Find the minor of elements 6 in the determinants Delta = {:[( 1,2,3),...
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- If A and B are square matrices of the same order such that AB = BA, th...
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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 A is a dia...
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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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