PYQs Based Test - 01 : Matrix Algebra and System of Linear Equati..

Topics Covered

Sample Questions from this Test

1. If the following system has non-trivial solution,
   
   px + qy + rz = 0
   
   qx + ry + pz = 0
   
   rx + py + qz = 0,
   
   then which one of the following options is TRUE?
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2. The matrix = ≤ft[ {*20c &0&3&7\\ 2&5&1&3\\ 0&0&2&4\\ 0&0&0&} ] has $\det (\mathrm{A})=100$ and $\mathrm{trace}(\mathrm{A})=14$.
   
   The value of $|a-b|$ is ________.
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3. Given that the determinant of the matrix ≤ft[ {*20c 1&3&0\\ 2&6&4\\ - 1&0&2 } ] is -12, the determinant of the matrix ≤ft[ {*20c 2&6&0\\ 4&12&8\\ - 2&0&4 } ] is
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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
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