Matrices questions
472 published questions with worked solutions.
- If A= bmatrix 2&0&0 0&3&0 0&0&4 bmatrix , then which of the following statements are correct? 1. A^n will always be singular for...
- If A= bmatrix 2&-1&0 -1&3&0 1&0&1 bmatrix , then what is the value of [ adj ( adj A)]?
- If A= bmatrix 1&0&0 0&1&0 0&0&1 bmatrix , then what is 23A^3-19A^2-4A equal to?
- The value of the determinant of a matrix A of order 3 is 3. If C is the matrix of cofactors of the matrix A, then what is the...
- Let A and B be matrices of order 3 3. If |A|= 1 2 2 and |B|= 1 729 , then what is the value of |2B(adj(3A))|?
- Consider the following statements in respect of two non-singular matrices A and B of the same order n : 1. adj(AB)=(adjA)(adjB)...
- Consider the following statements in respect of a non-singular matrix A of order n : 1. A(adjA^T)=A(adjA)^T 2. If A^2=A, then A...
- Consider the following statements in respect of a skew-symmetric matrix A of order 3 : 1. All diagonal elements are zero. 2. The...
- If A= bmatrix 2 &2 ^2 -1&0 2 &2 &0 0&0&1 bmatrix , then which of the following statements is/are correct? 1. A^ -1 =adjA 2. A is...
- Let X be a matrix of order 3 3, Y be a matrix of order 2 3 and Z be a matrix of order 3 2. Which of the following statements are...
- Let A and B be two square matrices of same order. If AB is a null matrix, then which one of the following is correct?
- Consider the following in respect of the matrices P= bmatrix 0&c&-b -c&0&a &-a&0 bmatrix and Q= bmatrix a^2&ab&ac &b^2&bc &bc&c^2...
- If P is a skew-symmetric matrix of order 3, then what is (P) equal to?
- If bmatrix x & 1 & 1 bmatrix bmatrix 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 bmatrix bmatrix 1 1 x bmatrix =[45] then which one of the...
- If A= bmatrix y & z & x z & x & y x & y & z bmatrix where x, y, z are integers, is an orthogonal matrix, then what is the value...
- If f( )= bmatrix & - & bmatrix then what is f( ) ^2 equal to?
- If A= bmatrix 1 & 2 & 2 2 & 1 & 2 2 & 2 & 1 bmatrix then what is A^2-4A equal to? where I_3 is the identity matrix of order 3.
- If A= bmatrix x & y & z y & z & x z & x & y bmatrix where x, y, z are integers, is an orthogonal matrix, then what is A^2 equal...
- What is the value of the determinant of the inverse of the matrix bmatrix -4&-5 2&2 bmatrix ?
- The system of equations 2x-3y-5=0, 15y-10x+50=0
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