Team Quanta gladly presents all short questions of Methods of Mathematical Physics – I’s Chapter#3: Matrix Algebra.
Q.1 Write the properties of matrix.
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Q.2 Prove that $\left[A,\left[B,C\right]\right]=\left[B,\left[A,C\right]\right]-[C,[A,B]]$ by Jaccobi identity.
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Q.3 Define unitary matrix.
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Q.4 Any conditions for $(\mathbf{A}-\mathbf{B})$ to be invertible if A is position definite matrix and B is a square matrix?
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Q.5 What is orthogonal matrix?
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Q.6 Draw a schematic diagram of stern and Gerlach experiment.
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Q.7 Derive the equation that the matrix product of two matrices BA is the rotation that carries the unique system directly into double prime.
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Q.8 Which matrix transform by rotation of system of a tensor of rank-2?
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Q.9 Is subtraction of matrices commutative and associative? Explain.
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Q.10 Write equation of diagonal and non-diagonal element.
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