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Earn +20 ptsQ: What is matrix system?
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You can solve a system of equations by translating it into a matrix manipulating the matrix until it has eliminated terms and then translating it back to equations?
True
When will a system of linear equations be inconsistent?
When the matrix of coefficients is singular.
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.
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)
What is idempotent matrix?
An idempotent matrix is a matrix which gives the same matrix if we multiply with the same. in simple words,square of the matrix is equal to the same matrix. if M is our matrix,then MM=M. then M is a idempotent matrix.
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