Question: ffQ2(e) (2 points) Let B be a 3 x 3 matrix such that B has eigenvalues 1, -3, -3 where > = -3 has corresponding

\f\fQ2(e) (2 points) Let B be a 3 x 3 matrix such that B has eigenvalues 1, -3, -3 where > = -3 has corresponding basis eigenvectors v1 = (0, 1, -2) and v2 = (5, -6, 11) and 1 = 1 has corresponding basis eigenvector v3 = (1, 0, 1) What are the eigenvectors of the matrix BS ? + Drag and drop an image or PDF file or click to browse... Q2(f) (4 points) Let B be a 3 x 3 matrix such that B has eigenvalues 1, -3, -3 where > = -3 has corresponding basis eigenvectors v1 = (0, 1, -2) and v2 = (5, -6, 11) and ) = 1 has corresponding basis eigenvector v3 = (1, 0, 1) Find matrices P and D such that P-1BP = D is a diagonal matrix. + Drag and drop an image or PDF file or click to browse... Q3(a) (5 points) Consider the lines LI : ac y- 1 4-2z 3 and [2 : 2 - x y - 4- 2 2 2 Find the intersection point, P, of L1 and C2.\fQ2(c) (2 points) Let A be a 3 x 3 matrix such that A has eigenvalues 0, 4, 5. Is A an invertible matrix ? Why ? + Drag and drop an image or PDF file or click to browse... Q2(d) (2 points) Let B be a 3 x 3 matrix such that B has eigenvalues 1, -3, -3 where A = -3 has corresponding basis eigenvectors v1 = (0, 1, -2) and v2 = (5, -6, 11) and ) = 1 has corresponding basis eigenvector v3 = (1, 0, 1) Is B diagonalizable ? Why ? + Drag and drop an image or PDF file or click to browse... Q2(e) (2 points) Let B be a 3 x 3 matrix such that B has eigenvalues 1, -3, -3 where A = -3 has corresponding basis eigenvectors v1 = (0, 1, -2) and v2 = (5, -6, 11) and ) = 1 has corresponding basis eigenvector v3 = (1, 0, 1) What are the eigenvectors of the matrix BS ?02(b) Let A be a 3 X 3 matrix such that A has eigenvalues O, 4, 5. What are the eigenvalues for A5 ? 03 ([3) Consider the lines .1 21? L1 I a) 0.) Find the general equation of the plane, H1, perpendicular to the line 3 and passing through the point 1- Drag and drop an image or PDF file or click to browse... Q3(c) (6 points) Consider the lines 4- 2z L1 : y - 1 3 4 and y - 5 4- 2 L2 : 2 2 Find the point-normal equation of the plane II that contains both lines _1 and C2

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