If A =[{:(1,0,1),(0,1,2),(0,0,4):}], the...

If A =`[{:(1,0,1),(0,1,2),(0,0,4):}]`, then show that |3A|=27|A|.

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CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2A

|{:(1,a,bc),(1,b,ca),(1,c,ab):}|
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|{:(1," "1," "1),(1,1+x," "1),(1," "1,1+y):}|
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|{:(1+a," "b," "c),(" "a,1+b," "c),(" "a," "b,1+c):}|
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|{:(" "1," "z,-y),(-z," "1," "x),(" "y,-x," "1):}|
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|{:(-a," "a," "a),(" "b,-b," "b),(" "c," "c,-c):}|
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|{:(0," "sinalpha,-cosbeta),(cosalpha," "0," "sinbeta),(cos alpha,-sin...
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write minor and cofactor ; |{:(5,2),(0,-1):}|
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write minor and cofactor ; |{:(-1,4),(2,3):}|
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write down the minor and cofactor |{:(1,a,bc),(1,b,ca),(1,c,ab):}|
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write down the minor and cofactor |{:(0,2,6),(1,5,0),(3,7,1):}|
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Evaluate the determinant |{:(" "2,3,-5),(" "7,1,-2),(-3,4," "1):}| ...
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If [.] denotes the greatest ingeter less then or equal to the real num...
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Evalute the determinant D=|{:(" "1," "sintheta,1),(-sintheta," "1,si...
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Find the minors and the cofactors of each element of the first column ...
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If A=[{:(1,3),(2,1):}],find the determinant of the matrix A^2-2A.
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If A =[{:(1,0,1),(0,1,2),(0,0,4):}], then show that |3A|=27|A|.
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If A = [{:(2,5),(2,1):}] and B =[{:(4,-3),(2,5):}] ,verify that |AB|...
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If f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(costhetasinthe...
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Find the integral value of x if |{:(x^2,x,1),(0,2,1),(3,1,4):}|=28
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prove that : |{:(1,a,b),(-a,1,c),(-b,-c,1):}|=1+a^2+b^2+c^2
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