Question

if A is 5×7 matrix and rank A=3 then what is nullity of A

Answer 1

Answer:

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Explanation:

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Answer 2

If A is 5×7 matrix and rank A=3 then nullity of A is 4

Concept or formula used:

Nullity of a matrix is the difference between the number of columns in a matrix and the rank of the matrix.

Explanation:

• In a $m*n$ matrix ,n represents the number of columns in a matrix.
• Similarly in our case,$5*7$ matrix,7 is the number of cloumns in a matrix A,number of cloumns=7
• Rank of the matrix A is given as 3,rank=3
• Nullity=Number of columns in a matrix A-Rank of a matrix A

   Nullity=7-3

   Nullity=4

Therefore,"If A is 5×7 matrix and rank A=3" then nullity of A is 4.