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MODERN PUBLICATION-DETERMINANTS-EXERCISE
- Let M and n be two 3xx3 matrices such that MN = NM. Further, If Mne ...
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- For 3xx3 martrices M and N, which of the following statement (s) is ...
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- If the adjoint of a 3x3 matrix P is (1 4 4) (2 1 7) (1 1 3) , t...
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- If A is a matrix of order mxx m such that A^(2) +A + 2I = O, then
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- Let a, b, and c be three real numbers satisfying [(a,b,c)][[1,9,7],[...
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- Let omega be a solution of z^3-1 = 0 If a = 2 , b=8 and c =7 then the ...
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- If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...
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- A complex number U = 4+2i.The value of |U| is
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- Let A be the set of all 3× 3 symmetric matrices all of whose either 0 ...
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- Let A be the set of all 3xx3 symmetric matrices all of whoes entries...
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- For a 2xx2 matrix, A = [a(ij)], whose elements are given by a(ij) = ...
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- If A is a square matrix such that A^2 = A, then write the value of (I+...
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- Evaluate the following determinants: {:|(3,x),(x,1)| = |(3,2),(4,1)|
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- If Delta={:|(1,2,3),(2,0,1),(5,3,8)|, write the minor of the element a...
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- If A = [[3,1],[-1,2]], show thatA^2-5A +7I = O
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- If A = [[costheta,sintheta],[-sintheta,costheta]] then prove that A^n...
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- If A = {:[(cosalpha, sinalpha),(-sinalpha, cosalpha)], A'A=I.
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- Using elementary transformations find the inverse of [[2,0,-1],[5,1,0]...
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- Using properties of determinants, prove that if x, y, z are different ...
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- If A = {:[(1,2,3),(0,-1,4),(3,2,1)], find (A')^-1
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