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- if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] ...
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- Prove that Delta=|[a+b x, c+d x, p+q x],[ a x+b, c x+d, p x+q],[ ...
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- Prove that |[x,sintheta, costheta],[-sintheta,-x,1],[costheta,1,x]| is...
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- Without expanding the determinant, Prove that |[a,a^2, bc],[b,b^2,ca...
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- Evaluate |[cos alpha cos beta, cos alpha sin beta, -sin alpha],[ -s...
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- If a,b,c are real numbers and abs[[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+...
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- Solve the equation |[x+a,x,x],[x,x+a,x],[x,x,x+a]|=0, a ne0
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- Prove that |[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^...
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- If A^(-1)=[[3,-1,1],[-15,6,-5],[5,-2,2]] and B=[[1,2,-2],[-1,3,0],[0,-...
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- Let A=[[1,-2,1],[-2,3,1],[1,1,5]] verify that (A^(-1))^(-1)=A
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- Evaluate |[x, y, x+y],[ y, x+y, x],[ x+y, x, y]|
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- evaluate | [1,x,y],[1,x+y,y],[1,x,x+y] |
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- Using properties of determinants, prove that |[alpha, alpha^2, beta+g...
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- Using properties of determinants, prove that |[3a,-a+b,-a+c],[-b+a,3...
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- Using properties of determinants, prove that |[1,1+p,1+p+q],[2,3+2p,...
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- Using properties of determinants, prove that |[sinalpha,cosalpha,cos...
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- Consider a system of linear equations which is given below, 2/x+3/...
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- If a,b,c are in A.P., then the determinant |[x+2, x+3, x+2a],[x+3,x+...
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- If x, y, z are non zero real numbers, then find the inverse of matrix ...
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- Let A = [[1,Sintheta,1],[-Sintheta,1,Sintheta],[-1,-Sintheta,1]], wher...
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