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Algebra. Evaluate log base 3 of 4. log3 (4) log 3 (4) The change of base rule can be used if a a and b b are greater than 0 0 and not equal to 1 1, and x x is greater than 0 0. loga(x) = logb (x) logb(a) log a (x) = log b (x) log b (a)
In mathematics, a logarithm of a matrix is another matrix such that the matrix exponential of the latter matrix equals the original matrix. It is thus a generalization of the scalar logarithm and in some sense an inverse function of the matrix exponential.
12 wrz 2015 · We want to calculate an approximation of $\log(A)$, the principal log of $A$. There is (eventually) an instability (in the calculation) when the eigenvalues of $A$ are close or when the matrix of change of basis (to obtain a diagonal form, otherwise a Jordan form) has a large condition number.
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Examples. \left. \begin {cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end {cases} \right. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
17 gru 2015 · Find $B$ if $A=e^B$ and $A=\begin{bmatrix} 2&1&0\\ 0&2&0\\ 0&0&4\\ \end{bmatrix}$. Besides, I would be very happy if give some general remark(Best approach). I have seen the wiki article on log of a matrix but it was too complicated(for me).