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SRISIRI PUBLICATION-MATRICES-II VSAQ,SAQ,LAQ
- A trust fund has to invest Rs 30,000 in two different types of bonds. ...
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- Show that |{:(a^2+2a,2a+1,1),(2a+1,a+2,1),(3,3,1):}|=(a-1)^3
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- Show that |{:(x,a,a),(a,x,a),(a,a,x):}|=(x+2a)(x-a)^2
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- Solve |{:(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,3x-64):}|=0
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- IFDelta1=|{:(a1^2+b1+c1,a1a2+b2+c2,a1a3+b3+c3),(b1b2+c1,b2^2+c2,b2b3+c...
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- IFDelta1=|{:(1,cosalpha,cosbeta),(cosalpha,1,coygamma),(cosbeta,cosgam...
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- If S=[(0,1,1),(1,0,1),(1,1,0)], A=(1)/(2)[(b+c,c-a,b-a),(c-b,c+a,a-b),...
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- Show that A=|{:(-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c):}|=4(a+b)(b+c...
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- If AB = I or BA= I, then prove that A is invertible and B=A^(-1).
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- For any square matrix A, show that AA' is symmetric.
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- Define trace of a matrix.
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- Define a diagonal matrix.
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- Define a scalar matrix.
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