Question

find the maximum value of the rank of the4*5 matrix​

Answer 1

ANSWER is in attachment

Answer 2

The maximum rank value of 4×5 matrix is 4.

• Basically, The matrix rank is a maximal number of linearly independent column vectors. The matrix's rank is determined by the greatest number of independent rows (or columns). The matrix's rank is determined by the greatest number of independent rows (or columns).
• The largest value of the rank possible for a n x n square matrix is n. In such a way, the largest rank possible for a 4 x 4 matrix is 4, only if all the 4 rows are independent. But if the matrix is not symmetric, such as a m x n matrix, then Whichever is the lowest is the maximum ranking. As a result, for a m x n matrix, the highest possible rank value is = Whichever is the least of m or n. Means, Maximum rank of 4×5 matrix is = min(4,5)=4.

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