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Matrices and DeterminantsQuestion and Answers: Page 1 |
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solve x? (√x) + 11 = 0 |
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Find matrix B if given AB=BA= (((0 0)),((0 0)) ) where A= (((5 3)),((5 3)) ) and B ≠ (((0 0)),((0 0)) ) |
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A ∈ M_(2×2) ,and ,det (A)≠0 : A^3 = A^2 + A ⇒ det ( A −2I )=? |
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Givem that the matrix A = ((3,1,5),(2,3,5),(5,1,6) ). If Adj. A = (((13),(-1),(-10)),((13),(-7),(-5)),((-13),2,7) ) (i) find A^(−1) (ii) Use the result in (i) to find the values of x, y and z that will satisfy the equations: 3x + y + 5z = 8 2x +3y + 5z = 0 5x + y + 6z = 13 |
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If A ∈ M_(2×2) , det(A )≠ 0 , A^( 3) = A^2 +A ⇒ Find the values of det (2A −I ) |
Find all possible value (a/(a+b+d )) +(b/(a+b+c)) + (c/(b+c+d))+(d/(a+c+d)) when a,b,c,d vary over positive reals |
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