The number of non-zero rows in an echelon form is called
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A 600-g ball A is moving with a velocity of magnitude 5 m/s when it is hit by a 1-kg ball B as shown which has a velocity of magnitude 3 m/s. Knowing that the coefficient of restitution is 0.7 and assuming no friction, determine the following:
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The number of non-zero rows in an echelon form is called the rank of a matrix.
- When all the elements in a row are zeros, it is called a zero row. If the row has at least one non-zero element, then it is a non-zero row.
- A matrix is said to be in echelon form if:
- The leading element of each row is 1.
- All the entries below this 1 must be zeros.
- A row containing more number of zeros should appear below the order.
- The number of non-zero rows in a row reduced to echelon form is called the rank of the matrix.
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