हिंदी

If [ac0bd0005] is a scalar matrix, then the value of a + 2b + 3c + 4d is ______. - Mathematics

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प्रश्न

If `[(a,c,0),(b,d,0),(0,0,5)]` is a scalar matrix, then the value of a + 2b + 3c + 4d is ______.

विकल्प

  • 0

  • 5

  • 10

  • 25

MCQ
रिक्त स्थान भरें

उत्तर

If `[(a,c,0),(b,d,0),(0,0,5)]` is a scalar matrix, then the value of a + 2b + 3c + 4d is 25.

Explanation:

In scalar matrix all diagonal elements are equal so,

a = d = 5

c = b = 0

value of a + 2b + 3c + 4d

= 5 + 20

= 25

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