The matrix on the right results after performing a single ro

The matrix on the right results after performing a single row operation on the matrix on the left. Identify the row operation [-3 13 -11 1 -6 2 0 4 -5] ~ [6 13 -11 -2 -6 2 0 4 -5] 2R_2 longrightdoublearrow R_3 -5R_1 longrightdoublearrow R_1 -2R_2 longrightdoublearrow R_2 R_1 leftrightdoublearrow R_2 2R_1 longrightdoublearrow R_1 Suppose that the given row operation is used to transform a matrix. Which row operation will transform the matrix back to its original form? -2R_3 + R_1 longrightdoublearrow R_6 -2R_3 + R_6 longrightdoublearrow R_6 (1/2)R_3 + R_6 longrightdoublearrow R_6 (-1/2)R_3 + R_6 longrightdoublearrow R_6 2R_3 + R_6 longrightdoublearrow R_6 -2R_6 + R_3 longrightdoublearrow R_3 In the following exercise you are asked to find an interpolating polynomial, which is used to fit a function to a set of data. (A graphing calculate) The figure below shows the plot of the points (1, 8) (2, 15), and (3, 28). Find a polynomial of degree 2 of the form f(x) = ax^2 + bx + c f(x) =

Solution

1) In the problem,the row R2 and R3 are identical, hence the transformation is done on the row R1

Comparing the first element of Row R1

6 = -3 * Factor

Factor = -2

Hence the row R1 is multiplied to -2

Hence the transformation is -2R1 -> R1

Therefore, the correct answer is Option B

2)

Since we adding -2R3 to the row, hence we need to add the row 2R3 in order to get the same matrix

Hence the correct answer is Option D