Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are - 15 and 4. - 6 3 - 9 A = - 14 - 3 - 9 - 3 -6 ... Enter the matrices P and D below. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.) 3.

Solve for X using the matrices below. 2A + 4B = −2X

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 the elementary row operation that transforms the first matrix into the second, and then find the reverse operation that transforms the second matrix into the first. 4 - 4 1 4 - 4 1 - 8 - 2 - 8 1 - 8 1 8 0 - 2 ... Find the elementary row operation that transforms the first matrix into the second. Choose the correct answer below. O A. Interchange row 2 and row 3. B. Multiply row 3 by Oc. Multiply row 1 by and add the result to row 3. D. Interchange row 1 and row 2. O O