imo class 12 matrices

A dietician wishes to mix two types of foods. Matrix M represents the vitamin content per unit of food. Vector X represents the units of food consumed. The product MX gives:

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A dietician wishes to mix two types of foods. Matrix M represents the vitamin content per unit of food. Vector X represents the units of food consumed. The product MX gives:

  • A. Cost of the food
  • B. Total units of food
  • C. Total intake of each vitamin
  • D. Total calories only

Answer: C) Total intake of each vitamin

Explanation: Multiplying the vitamin content matrix (M) by the consumption vector (X) mathematically yields a new vector representing the total intake of each specific vitamin.

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