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PSEB-DETERMINANTS-Exercise
- Evaluate the determinant : |[2,-1,-2],[0,2,-1],[3,-5,0]|
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- If A = [[1,1,-2],[2,1,-3],[5,4,-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 values 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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- Using the property of determinants and without expanding , prove that:...
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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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- By using properties of determinants, show that : |[x+4,2x,2x],[2x,x+4...
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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 : |[y+k,y,y],[y,y+k,y],[y,y,y+k]|=k^2(3y+k).
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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 : |[x+y+2z,x,y],[z,y+...
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- By using properties of determinants, show that : |[1,x,x^2],[x^2,1,x...
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