Matrices questions

472 published questions with worked solutions.

• Consider the following linear equations cases ax + by + cz = 0 bx + cy + az = 0 cx + ay + bz = 0 cases Match the...
  JEE Advanced · Mathematics · Matrices
• Let (x, y, z) be points with integral coordinates satisfying the system of homogeneous equations 3x - y - z = 0, -3x + z = 0, -3x...
  JEE Advanced · Mathematics · Matrices
• The number of 3 3 matrices A whose entries are either 0 or 1 and for which the system A bmatrix x y z bmatrix = bmatrix 1 0 0...
  JEE Advanced · Mathematics · Matrices
• Let k be a positive real number and A = bmatrix 2k - 1 & 2 k & 2 k 2 k & 1 & -2k -2 k & 2k & -1 bmatrix and B = bmatrix 0 & 2k -...
  JEE Advanced · Mathematics · Matrices
• Let M and N be two 3 3 non-singular skew symmetric matrices such that MN = NM. If P^T denotes the transpose of P then...
  JEE Advanced · Mathematics · Matrices
• If A = bmatrix 1 & 2 & 2 2 & 1 & -2 & 2 & b bmatrix is a matrix satisfying the equation AA^T = 9I, where I is 3 3 identity...
  JEE Main · 2015 · Mathematics · Matrices
• The set of all values of λ for which the system of linear equations: 2x_1 - 2x_2 + x_3 = x_1, 2x_1 - 3x_2 + 2x_3 = x_2, -x_1 +...
  JEE Main · 2015 · Mathematics · Matrices
• If A = bmatrix 0 & -1 1 & 0 bmatrix , then which one of the following statements is not correct?
  JEE Main · 2015 · Mathematics · Matrices
• If A is a 3 3 matrix such that |5 , adj A| = 5, then |A| is equal to
  JEE Main · 2015 · Mathematics · Matrices
• Let A, be a 3 3 matrix, such that A^2-5A+7I = O. Statement - I : A^ -1 = 17 (5I-A ). Statement - II : The polynomial...
  JEE Main · 2016 · Mathematics · Matrices
• If A = bmatrix -4 & -1 3 & 1 bmatrix , then the determinant of the matrix (A^ 2016 -2A^ 2015 -A^ 2014 ) is :
  JEE Main · 2016 · Mathematics · Matrices
• Let A be any 3 3 invertible matrix. Then which one of the following is not always true?
  JEE Main · 2017 · Mathematics · Matrices

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