Respuesta :

Answer:

D

Step-by-step explanation: if you replace R1 with 1 and R3 with 0 you have -2(1)+0 which equals 0 and that matches matrix II. Repeat the process with the other numbers in R1 and R3 and they all come out equal therefor the answer is D.

The 4th operation i.e. -2R1 + R3 → R3 transformed matrix I to matrix II.

What is a matrix?

A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.

How to solve this problem?

Here, the R3 row is transformed. The elements of R3 in matrix I are 2, 7, 8, and 25. In matrix II, the elements of R3 are 0, 3, 6, and 15.

The elements of R1 in both matrices are 1, 2, 1, and 5.

Now, 2 - 1×2 = 2 - 2 = 0

7 - 2×2 = 7 - 4 = 3

8 - 1×2 = 8 - 2 = 6

25 - 5×2 = 25 - 10 = 15

Clearly, if we can perform the operation R3 - 2R1 in matrix I, we can get matrix II.

Therefore the 4th operation i.e. -2R1 + R3 → R3 transformed matrix I to matrix II.

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