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SUBHASH PUBLICATION-DETERMINANT-TRY YOURSELF
- Define a singular matrix.
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- Find the value of x for which |(3,x),(x,1)| = |(3,2),(4,1)|
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- Prove that the value of the determine remains unchanged if its rows an...
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- If any two rows (or columns) of a determinant are interchanged then th...
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- If any two rows (or columns) of a determinant are identical then the v...
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- If each element of a row (or a column) of a determinant is multiplied ...
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- Prove that |(x,y,y),(y,x,y),(y,y,x)| = (x + 2y)(x - y)^(2)
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- Prove that |(x,p,q),(p,x,q),(p,q,x)| = (x - p)(x - q)(x + p +q)
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- Prove that |(1,a^2,bc),(a,b^2,ca),(1,c^2,ab)|=(a-b)(b-c)(c-a)
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- Prove that |(1,1,1),(bc,ca,ab),(b+c, c+a, a+b)| = (a-b)(b-c)(c-a)
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- Prove that (AB)^(-1) = B^(-1) . A^(-1) give that A = [(2,3),(1,-4)] an...
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