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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
- Evaluate |[cosalphacosbeta,cosalphasinbeta,-sinalpha],[-sinbeta,cosbet...
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- If a, b and c are real numbers, and triangle = |[b+c,c+a,a+b],[c+a,a+b...
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- Solve the equation |[x+a,x,x],[x,x+a,x],[x,x,x+a]| = 0 a ne 0
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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 [adj A]^-1 = adj (A^-1...
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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+gam...
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- Using properties of determinants, prove that: |[x,x^2,1+px^3],[y,y^2,1...
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- Solve by matrix method 2/x + 3/y + 10/z = 4 , 4/x - 6/y + 5/z = 1 , ...
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- If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...
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- Let A = [[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], wher...
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- Fill in the blanks : If A = [(1,a,3),(2,b,6),(3,c,9)], then det A is...
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- Fill in the blanks : If cos 2 theta = 0, then |(0, costheta, sinthet...
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- Fill in the blanks : Determinant of a skew symmetric matrix of order...
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- Select the Correct Option If A is an invertible matrix of order 2, the...
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- Fill in the blanks : If A is an invertible square matrix, then (A)^-...
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- If A is matrix of order 3xx3, then (A^(2))^(-1)=…….
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