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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
- Evaluate the determinant : |[3,-4,5],[1,1,-2],[2,3,1]|
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- Evaluate the determinant : |[0,1,2],[-1,0,-3],[-2,3,0]|
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- Evaluate the determinant Delta = abs{:(2,-1,-2),(0,2,-1),(3,-5,0):}.
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- If A = [{:(1,1,-2),(2,1,-3),(5,3,-9):}], find |A|.
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- Find values of x, if : |[2,4],[5,1]| = |[2x,4],[6,x]|
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- Find the value of x, if |{:(2,3),(4,5):}|=|{:(x,3),(2x,5):}|.
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- If |[x,2],[18,x]| = |[6,2],[18,6]|, then x is equal to:
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- Using the property of determinants and without expanding , prove that:...
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- Using the property of determinants and without expanding , prove that:...
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- Using the property of determinants and without expanding , prove that:...
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- Using the property of determinants and without expanding , prove that:...
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- Using the property of determinants and without expanding prove that : ...
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- By using properties of determinants, Show that : {:|(0,a,-b),(-a,0,-...
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- Prove that: |[-a^2, ab,ac],[ba,-b^2,bc],[ca,cb,-c^2]|=4a^2b^2c^2
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- By using properties of determinants, show that : |[1,a,a^2],[1,b,b^2]...
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- By using properties of determinants, show that : |[1,1,1],[a,b,c],[a^...
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- Prove that: |[x,x^2,yz],[y,y^2,zx],[z,z^2,xy]|=(x-y)(y-z)(z-x)(xy+yz+z...
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- Prove that: |[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]|=(5x+4)(4-x)^2.
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- using properties of determinant, prove that abs{:(y+k , y , y ),(y , y...
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- Prove that |{:(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b):}|=(a+b+c)^(3)...
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