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Matrices and DeterminantsQuestion and Answers: Page 4 |
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If A is a 3×3 matrix where det(A)=−2 then what will be det(3A^2 A^(−1) )? knowing that A^(−1) is the inverse of A |
Soit a,b,c et α 4 nombres rationnels telque (α)^(1/3) est irrationnel.. Demontrer que : (a(α)^(1/3) +b(α)^(1/3) =c) ⇒ (a=b=c).. |
E = MC^(2 ) ∫requency = E/M |
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fjnd inverse of matrix [(2,(−5)),(1,3) ] |
A= [((2 ),1,(−1)),((−3),(−1),2),((−2),1,2) ]find the inverse of this matrix |
If f(x)= determinant (((sec^2 x 1 1)),((cos^2 x cos^2 x csc^2 x)),(( 1 cos^2 x tan ^2 x))) evaluate ∫_0 ^(π/4) f(x) dx. |
Make r subject formula: S_n = ((a(1 − r^n ))/(1 − r)) |
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Let a,b,c be no null integers. A ballot box contains “a” black bowls and “b”white bowls. After a print we put the bowl back in the ballot box with “c” another bowls of the same color. Prove that the probability to extract a green bowl at any print is always p = (a/(a+b)) |
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Find Null space of the following matrix and also find basis for the null space. [(1,1,0,0,1),(0,0,1,(−2),0),(4,2,0,0,3),(1,1,1,(−2),1),(2,2,0,0,2),(1,1,2,4,1) ] |
can we find the 4×4 matrics inevers multiplicative matrics??? |
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Find the 2×2 matrix A such that (((−4),( 0)),(( 0),(−4)) ) − A = A^(−1) ((3,0),(0,3) ) |
1. A=(3152) , A^(−1) =? 2. Solve the equation: ∣2x611∣=0 3. Calculate the determinant: ∣132 21 13 42∣ |