A determinant D of order 4 is given, and D = 4. The row with number 1 of the determinant D is multiplied

A determinant D of order 4 is given, and D = 4. The row with number 1 of the determinant D is multiplied by the number 4. What is the resulting determinant?

By the property of the determinant, that multiplying all elements of one row or column of the determinant by some number is equivalent to multiplying the determinant by this number, and the order of the determinant is not important for us, since this property applies to determinants of any order.

Thus, we get:

4 * 4 = 16.

Answer: the resulting determinant is 16.



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