Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are -2 and 7. 3-4 -2 -4 3-2 -2 -2 6 Enter the matrices P and D below. (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.)

Find the matrix of the quadratic form. Assume x is in R³. a. 2x² + 3x²2 - 9x²3 - 10x₁x×2 + 18x₁×3 − 12×2×3 b. 2x1x2 + 12x₁X3 - 18x2x3 a. The matrix of the quadratic form 2x² + 3x2 -9x3 - 10x₁x2 + 18x₁ x3 - 12x₂x3 is (Simplify your answer.) Part 1 of 2

The figure to the right shows the letter L in a rectangular coordinate system. The figure can be represented by the matrix B, shown to the right. Each column in the matrix describes a point on the letter. The order of the columns shows the direction in which a pencil must move to draw the letter. The Lis completed by connecting the last point in the matrix, (0,5), to the starting point, (0,0). Use matrix operations to move the L 5 units to the right and 4 units up. Then graph the L and its transformation in a rectangular coordinate system. ... B= C 033110 0 0 1 1 5 5 N Determine the matrix operation that will move the L 5 units to the right and 4 units up and perform the operation. What is the result?

Find a 2 x 2 matrix such that -3 27 PI 4 25 -61