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If A and B are square matrices of order 4 × 4 such that A = 5 B and |A| = α. |B|, find the value of α. (Answer up to the nearest integer)
    Correct answer is '625'. Can you explain this answer?
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    If A and B are square matrices of order 4 × 4 such that A = 5 B ...
    If k is a constant and A is a square matrix of order n × n, then |kA| = kn |A|.
    A = 5B ⇒ |A| = |5B| = 54 |B| = 625|B|.
    ⇒ α = 625
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    If A and B are square matrices of order 4 × 4 such that A = 5 B and |A| = α. |B|, find the value of α. (Answer up to the nearest integer)Correct answer is '625'. Can you explain this answer?
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