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What do you understand by state transition matrix of a linear time invariant system?
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What is the symbol for skew?
In linear algebra, a skew-symmetric matrix is a square matrix .....'A'
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.
When will the system of linear equation be consistent?
When its matrix is non-singular.
How can you solve a linear equation?
by elimination,substitution or through the matrix method.
When is a square matrix said to be diagonisable?
When its determinant is non-zero. or When it is a linear transform of the identity matrix. or When its rows are independent. or When its columns are independent. These are equivalent statements.
What is the symbol for skew?
In linear algebra, a skew-symmetric matrix is a square matrix .....'A'
Show that for a square matrix the linear dependence of the row vectors implies that of the column vectors and conversely.?
show that SQUARE MATRIX THE LINEAR DEPENDENCE OF THE ROW VECTOR?
What are the matrix method of linear systems?
Consider the linear system of equations AX = YwhereX is a n x 1 matrix of variables,Y is a n x 1 matrix of constants, andA is an n x n matrix of coefficients.Provided A is not a singular matrix, A has an inverse, A-1, an n x n matrix.Premultiplying by A-1 gives A-1AX = A-1Y or X = A-1Y, the solution to the linear system.
When will a system of linear equations be inconsistent?
When the matrix of coefficients is singular.
When will the system of linear equation be consistent?
When its matrix is non-singular.
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.
How do you determine the invariant point in a transformation of a relation?
the invarient point is the points of the graph that is unaltered by the transformation. If point (5,0) stays as (5,0) after a transformation than it is a invariant point The above just defines an invariant point... Here's a method for finding them: If the transformation M is represented by a square matrix with n rows and n columns, write the equation; Mx=x Where M is your transformation, and x is a matrix of order nx1 (n rows, 1 column) that consists of unknowns (could be a, b, c, d,.. ). Then just multiply out and you'll get n simultaneous equations, whichever values of a, b, c, d,... satisfy these are the invariant points of the transformation
How can you solve a linear equation?
by elimination,substitution or through the matrix method.
When can you not invert a matrix?
If it is not a square matrix. You cannot invert a square matrix if it is singular. That means that at least one of the rows of the matrix can be expressed as a linear combination of the other rows. A simple test is that a matrix cannot be inverted if its determinant is zero.
What is B called in the matrix representation of a system of linear equations when written as AX equals B?
A = coefficient matrix (n x n) B = constant matrix (n x 1)
When is a square matrix said to be diagonisable?
When its determinant is non-zero. or When it is a linear transform of the identity matrix. or When its rows are independent. or When its columns are independent. These are equivalent statements.
What has the author Evar D Nering written?
Evar D. Nering has written: 'Linear algebra and matrix theory' -- subject(s): Linear Algebras 'Linear programs and related problems' -- subject(s): Linear programming
