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Compute the Products Ab And Ba Whichever Exists in Each of the Following Cases: [A, B]`[[C],[D]]`+ [A, B, C, D] `[[A],[B],[C],[D]]` - Mathematics

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Question

Compute the products AB and BA whichever exists in each of the following cases:

 [ab]`[[c],[d]]`+ [a, b, c, d] `[[a],[b],[c],[d]]`

Sum
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Solution

[a    b] `[[c],[d]]`+[a     b     c    d]  `[[a],[b],[c],[d]]`

`⇒ [ac+ bd]+[a^2+b^2+c^2+d^2] `

`[a^2+b^2+c^2+d^2+ac+bd]`

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Chapter 5: Algebra of Matrices - Exercise 5.3 [Page 41]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.3 | Q 3.4 | Page 41
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