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.
Answer:
Q.2 Prove that ![\left[A,\left[B,C\right]\right]=\left[B,\left[A,C\right]\right]-[C,[A,B]]](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw== "Rendered by QuickLaTeX.com")
by Jaccobi identity.
![\left[A,\left[B,C\right]\right]=\left[B,\left[A,C\right]\right]-[C,[A,B]]](https://quantapublisher.com/wp-content/ql-cache/quicklatex.com-9b0afdaea794aa96f2d7c07fd7dc783b_l3.png "Rendered by QuickLaTeX.com")
by Jaccobi identity.Answer:
Q.3 Define unitary matrix.
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Q.4 Any conditions for to be invertible if A is position definite matrix and B is a square matrix?
to be invertible if A is position definite matrix and B is a square matrix?Answer:
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?
Answer:
Q.9 Is subtraction of matrices commutative and associative? Explain.
Answer:
Q.10 Write equation of diagonal and non-diagonal element.
Answer:
