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Question by  ashley31 (263)

What are some examples of matrices with no solution?

 +1 vote! +12 you voted Answer by  Claw (96) 3x - 5y = 1 -6x + 10y = 2 Using row operations you will show why the following matrix has no unique solution. x + y = 1 x + y = 0 y=2x + 5 y=2x + 25 as a matrix x + 2y = 1 2x + 4y = 2

 +1 vote! +7 you voted Answer by  mbutoisaacyahoocom (7) A matrices formed from linear equations of paralell lines has a determinat of zero form the matrix equation and hence no solution .

 +1 vote! +7 you voted Answer by  Spatulatr0n (7) x + y = 1 x + y = 0 y = 3x - 4 y = 3x -16 y = 12x + 8 y = 12x + 32

 +1 vote! +7 you voted Answer by  algebraguru (28) A matrix with no solution corresponds to parallel lines because they never cross. You can construct a 2x3 matrix that has the same values in the two rows for the first two columns, but different values in the third column. The two lines will have the same slope, but different y-intercepts.

 +1 vote! +5 you voted Answer by  StringFinance (21) Matrices with no solution often have the x value of 0 or any value with an imaginary number. An example of such is f(x) = 2x + 2 = 2

 +1 vote! +5 you voted Answer by  Andrew69bc (18) if the number of columns in the first matrix is not the same as the number of rows in the second matrix, then the matrices have no solution. Therefore if (matrix A) x (matrix B) has a solution, (matrix B) x (matrix A) might not have a solution.

 +1 vote! +4 you voted Answer by  njanetos (69) A matrix is just an object and has no solution. However, a common problem is to find the inverse of matrices. Matrices with a determinant of zero have no inverse.