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Under what conditions is the matrix `A^2-B^2=(A-B)(A+B)` is true?

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
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  3. Under what conditions is the matrix A^2-B^2=(A-B)(A+B) is true?

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  4. If a is a non-zero real or complex number. Use the principle of mathe...

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