3. Construct the matrix: Putting all the calculated values together, we get: A=[2334] Case (ii): aij=(i+j)22 1. Define the matrix structure: Again, we will have: A=[a11a12a21a22] 2. Calculate each element using the formula aij=(i+j)22: - For a11 (where i=1 and j=1):...
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Finding the Determinant of a Matrix | Properties, Rules & Formula from Chapter 2 / Lesson 2 104K Explore the determinant of a matrix, which is widely used in linear algebra. Understand how to find the determinant of a matrix with determinant ...
Find a formula for the inverse of the function f(x)=(9)^{4^x}. What is f^{-1} (x)? Let f(x) = \dfrac{\ln x}{2 + 3\ln x}. Find the inverse function f^{-1}. Find the inverse f^{-1} (x) of f(x) = 3 + square...
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f(x)=\left\{\begin{matrix} -\frac{1}{2}x+4, &x\leq 0 \ (x-2)^2, & x> 0 \ \end{matrix}\right. |x|-2|-1|0|1|2 |f(x)| | | | | How would you create an (x,y) table for the equation y = 2x - 1? How do you create a table using the equa...
Composition of Functions | Definition, Formula & Examples from Chapter 16 / Lesson 9 55K Composition of functions is an operation between two functions such that the output of one function is the input of the ...
For the mathematical formula of the derivative of an inverse function, we have to compute the value of the point {eq}a {/eq} by equating the function with the given point {eq}b {/eq}. {eq}\displaystyle (f^{-1}(b))'=\dfrac{1}{f'(a)} {/eq} Where {eq}f'...
The value of the limit \left.\begin{matrix} lim_{n\rightarrow \infty}\frac{5}{n}\sqrt{2+\frac{5i}{n \end{matrix}\right| is equal to the area below the graph of a function f(x)|on an interval [A, B]| Find a...
Answer to: Let f(x) = \left\{\begin{matrix} x^3 -x & x > -1 \\ 2x+ 2 & x \leq -1 \end{matrix}\right. Prove that f is differentiable at x = -1...