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MODERN PUBLICATION-DETERMINANTS-PROBLEM
- Solve the following : [[2,2,x],[-1,x,4],[1,1,1]]=0
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- Is ((1,2),(3,4)) invertible, justify ?
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- Evaluate the following determinants: [[1^2,2^2,3^2],[2^2,3^2,4^2],[3...
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- Prove the following: [[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=4a^2b^...
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- If Aand B are square matrices of order 3, such that |A| = -1,|B| = 3 t...
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- For what k x+2y-3z = 2 (k+3)z = 3 (2k+1) +z = 2 is inconsisten...
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- The sum of two non integral roots of [[x,2,5],[3,x,3],[5,4,x]] = 0 is ...
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- What is the inverse of A = ((cos alpha,sin alpha),(sin alpha,-cos alph...
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- The value of [[1,2,3],[3,5,2],[8,14,20]] is .
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- Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...
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- Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab
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- Solve : [[7,6,x],[2,x,2],[x,3,7]] = 0
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- Solve the following : [[1+x,1,1],[1,1+x,1],[1,1,1+x]]=0
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- Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...
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- Prove that the following. [[a+d,a+d+k,a+d+c],[c,c+b,c],[d,d+k,d+c]]=ab...
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- Prove that the following. [[1,1,1],[b+c,c+a,c+a],[b^2+c^2,c^2+a^2,a^2+...
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- Prove that [[b^2c^2, bc,b+c],[c^2a^2,ca,c+a],[a^2b^2,ab,a+b]] = 0
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- Show that: abs((1,a,a^2),(1,b,b^2),(1,c,c^2))=(a-b)(b-c)(c-a)
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- Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...
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- Prove that [[1,a,a^2 - bc],[1,b,b^2 - ca],[1,c,c^2 - ab]]
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