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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
- For what value of x is the matrix [(5-x,x+1),(2,4)] singular ?
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- Find the minor of a23 in |(2,-3,5),(6,0,4),(1,5,-7)|
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- Find the cofactor of a12 in |(2,-3,5),(6,0,4),(1,5,-7)|
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- If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)| find the value of x.
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- Write the value of Delta = |(x+y, y +z , z +x),(z, x,y),(-3,-3,-3)|
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- If A is a 3xx3 matrix and |3A | = k |A|, then write the value of k.
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- For what value of 'k', the system of linear equations : x+y+z=2,2x+y...
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- Evaluate the determinants in exercises 1 to 2. |(2,4),(-5,-1)|
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- Evaluate the determinants in exercises 1 to 2. |(cos theta, - sin th...
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- Evaluate the following determinants: {:|(x^2-x+1,x-1),(x+1,x+1)|
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- If A =[{:(1,2),(4,2):}], then show that | 2A| = 4|A|.
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- If A = [[1,0,1],[0,1,2],[0,0,4]] then show that |3A| = 27|A|
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- Evaluate the following determinants: {:|(3,-1,-2),(0,0,-1),(3,-5,0)|
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- 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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