If a matrix A is both symmetric and skew symmetric, then A is necessarily a :

If a matrix A is both symmetric and skew symmetric, then A is necessarily a :

(a) Diagonal matrix

(b) Zero square matrix

(c) Square matrix

(d) Identity matrix

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Option : (b) Zero square matrix

5 views Answered 2023-02-05 15:29

Related Questions

The inverse of a symmetric matrix is (a) Symmetric (b) Non-symmetric (c) Null matrix (d) Diagonal matrix

2 Answers 5 Views

Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and `11 - n` columns. If both AB and BA exist, then (A) AB and BA are square matrix (B) AB

2 Answers 4 Views

The matrix `A=[-5-8 0 3 5 0 1 2-]` is a. idempotent matrix b. involutory matrix c. nilpotent matrix d. none of these

2 Answers 5 Views

If `A` and `B` are matrices of the same order, then `A B^T-B^T A` is a (a) skew-symmetric matrix (b) null matrix (c) unit matrix (d) symmetric matrix

2 Answers 4 Views

If A is symmetric as well as skew-symmetric matrix, then A is

2 Answers 4 Views

Let A and B be two square matrices of the same size such that `AB^(T)+BA^(T)=O`. If A is a skew-symmetric matrix then BA is

2 Answers 5 Views

If A is a nonsingular matrix such that `A A^(T)=A^(T)A` and `B=A^(-1) A^(T)`, then matrix B is

2 Answers 4 Views

If Ais symmetric and B is skew-symmetric matrix, then which of the following is/are CORRECT ?

2 Answers 6 Views

Let A and B two symmetric matrices of order 3. Statement 1 : `A(BA)` and `(AB)A` are symmetric matrices. Statement 2 : `AB` is symmetric matrix if mat

2 Answers 8 Views

Let `M` be a `2xx2` symmetric matrix with integer entries. Then `M` is invertible if The first column of `M` is the transpose of the second row of `M`

2 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)