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For the matrix A = [1567] verify that (A + A') is a symmetric matrix. - Mathematics

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प्रश्न

For the matrix A = [1567] verify that (A + A') is a symmetric matrix.

बेरीज

उत्तर

Given,  A = [1567]

So, A' = [1657]

Now, (A + A') = [1567]+[1657]

=[1+15+66+57+7]

=[2111114]

Then, (A + A')' = [2111114]

∵  (A + A')' = (A + A'),

Hence it is proved that the matrix (A + A')' is a symmetric matrix.

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पाठ 3: Matrices - Exercise 3.3 [पृष्ठ ८९]

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एनसीईआरटी Mathematics [English] Class 12
पाठ 3 Matrices
Exercise 3.3 | Q 8.1 | पृष्ठ ८९

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