An augmented matrix is given. Determine the number of solutions to the corresponding system of equations. 1961-1 0 0 0 0 [ 0 0 0 0 The system has one solution. The system has no solution. The system has infinitely many solutions.



Answer :

The augmented matrix is attached in the image below.

An augmented matrix is a matrix formed by combining the columns of two matrices to form a new matrix. The augmented matrix is an important tool in matrices used to solve simple linear equations. The number of rows in the augmented matrix is equal to the number of variables in the linear equation. An augmented matrix is similar in that it, too, is a coefficient matrix, but in addition it is augmented with a column consisting of the values on the right-hand side of the equations of the linear system.

As we can see there is one pivot entry at the first column and the last two rows are zero.

So the system has infinitely many solutions.

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