A is square matrix of order `n`. ℓ = maximum number of distinct entries if `A` is a triangular matrix m = maximum number of distinct entries if `A` is a diagonal matrix p = minimum number of zeroes if `A` is a triangular matrix If

Question

A is square matrix of order `n`. &#8467; = maximum number of distinct entries if `A` is a triangular matrix m = maximum number of distinct entries if `A` is a diagonal matrix p = minimum number of zeroes if `A` is a triangular matrix If &#160;&#8467; + 5 = p + 2 m , find the order of the matrix.

Quantrex Academy · Accepted Answer

Correct answer: 4

&#8467; = n 2 - n n - 1 2 + 1 &#8203; m = n 2 - n n - 1 + 1 p = n n - 1 2 Given, &#8467; + 5 = p + 2 m n 2 2 + n 2 + 1 + 5 = n 2 2 - n 2 + 2 n + 1 n + 6 = 2 n + 2 n = 4

A is square matrix of order `n`. ℓ = maximum number of distinct entries if `A` is a triangular matrix m = maximum number of distinct entries if `A` is a diagonal matrix p = minimum number of zeroes if `A` is a triangular matrix If  ℓ + 5 = p + 2 m , find the order of the matrix.

Correct answer

Step-by-step solution

More from Matrices

A is square matrix of order `n`. &#8467; = maximum number of distinct entries if `A` is a triangular matrix m = maximum number of distinct entries if `A` is a diagonal matrix p = minimum number of zeroes if `A` is a triangular matrix If &#160;&#8467; + 5 = p + 2 m , find the order of the matrix.

Correct answer

Step-by-step solution

More from Matrices

A is square matrix of order `n`. ℓ = maximum number of distinct entries if `A` is a triangular matrix m = maximum number of distinct entries if `A` is a diagonal matrix p = minimum number of zeroes if `A` is a triangular matrix If ℓ + 5 = p + 2 m , find the order of the matrix.