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BETTER CHOICE PUBLICATION-DETERMINANTS -SOLVED EXAMPLES (SECTION III)
- Without expanding, prove that the following determinant vanishes. |...
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- The value of the det. |[x+y,y+z,z+x],[z,x,y],[1,1,1]| is
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- Evaluate |(x+lamda,x,x),(x,x+lamda,x),(x,x,x+lamda)|
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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 the property of determinants and without expanding , prove that:...
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- By using properties of determinants, show that : |[1,a,a^2],[1,b,b^2]...
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- Using the properties of determinants, show that :|[[x^2, y^2, z^2],[yz...
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- Show that: |[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]|=(a+b+c)^3
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- By using properties of determinants, show that : |[1,x,x^2],[x^2,1,x...
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