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NCERT GUJARATI-MATRICES-Miscellaneous Exercise on Chapter 3
- If A=[(cos theta, sin theta),(-sin theta, cos theta)], then prove that...
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- Let A A=[{:(0,1),(0,0):}] , show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA, ...
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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^(n-1)3^(n-1)...
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- If A=[3-4 1-1] , then prove that A^n=[1+2n-4nn1-2n] , where n is any p...
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- If A and B are symmetric matrices, prove that AB BA is a skew symm...
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- Show that the matrix B^TA B is symmetric or skew-symmetric according a...
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- Find the values of x ,\ \ y\ ,\ z if the matrix A=[0 2y z x y-z x-y z]...
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- for what values of x: [1" "2" "1][{:(1,2,0),(2,0,1),(1,0,2):}][{:(...
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- if A=[{:(3,1),(-1,2):}],show that A^(2)-5A+7I=0.
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- find x, if [x" "-5" "-1][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4),(1)...
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- A manufacturer produces three products x, y, z which he sells in...
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- Find the matrix X so that X[1 2 3 4 5 6]=[-7-8-9""""""2""""""4""""6]
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- If A and B are square matrices of the same order such that A B = B A,...
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- If A=[alphabetagamma-alpha] is such that A^2=I , then 1+alpha^2+betaga...
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- If the matrix A is both symmetric and skew symmetric, then (A) A is...
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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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