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What is the application for rank of the matrix?
Rank of a matrix is used to find consistency of linear system of equations.As we know most of the engineering problems land up with the problem of finding solution of a linear system of equations ,at that point rank of matrix is useful.
What does the backslash operator do in MATLAB and how is it used in matrix operations?
In MATLAB, the backslash operator () is used for solving systems of linear equations. It performs matrix left division, which is equivalent to solving the equation Ax B for x, where A is the coefficient matrix and B is the right-hand side matrix. The backslash operator is commonly used to find the solution to a system of linear equations in MATLAB.
What is cram rule Mathematics?
Cramer's Rule is a method for using Matrix manipulation to find solutions to sets of Linear equations.
What statement must be true of an equation before you can use the quadratic formula to find the solutions?
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
Why and Show that for a square matrix the linear dependence of row vectors implies that of a column matrix and conversely?
Larry Freeman has a very nice proof ( one you can find in most linear algebra texts) on his blogspot.I encourage you to look at it and go over it line by line.http://mathrefresher.blogspot.com/2007/06/column-space.html
Write an algorithm to find the root of quadratic equation?
Write an algorithm to find the root of quadratic equation
Find directed graph that has the adjacency matrix?
Find directed graph that has the adjacency matrix Find directed graph that has the adjacency matrix
Why do mathmaticians use the quadratic formula?
To find the roots (solutions) of a quadratic equation.
How do you find original matrix from its inverse matrix?
To find the original matrix of an inverted matrix, simply invert it again. Consider A^-1^-1 = A^1 = A
What is the difference between quadratic formula and quadratic equation?
There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
How can you find the complex solutions of any quadratic equation?
I suggest you use the quadratic formula.
How can one find a unitary matrix?
To find a unitary matrix, one must first square the matrix and then take the conjugate transpose of the result. If the conjugate transpose of the squared matrix is equal to the identity matrix, then the original matrix is unitary.
