Question

Consider matrix A = egin{pmatrix} 0 & 1 \ -1 & 2 end{pmatrix} and vectors x = egin{pmatrix} 1 \ -2 end{pmatrix} and y = egin{pmatrix} 1 \ 1 end{pmatrix}. Calculate matrix B = (A - A^T)^2 and vector w = Bx. Then, evaluate the scalar product w · y. [Please enter your answer numerically. You will be marked correct as long as what you enter is within 0.5 of the correct answer.] Answer:

          Consider matrix A = egin{pmatrix} 0 & 1 \ -1 & 2 end{pmatrix} and vectors x = egin{pmatrix} 1 \ -2 end{pmatrix} and y = egin{pmatrix} 1 \ 1 end{pmatrix}. Calculate matrix B = (A - A^T)^2 and vector w = Bx. Then, evaluate the scalar product w · y. [Please enter your answer numerically. You will be marked correct as long as what you enter is within 0.5 of the correct answer.] Answer:

Consider matrix A = eginpmatrix 0 1 -1 2 endpmatrix and vectors x = eginpmatrix 1 -2 endpmatrix and y = eginpmatrix 1 1 endpmatrix. Calculate matrix B = (A - A^T)^2 and vector w = Bx. Then, evaluate the scalar product w · y. [Please enter your answer numerically. You will be marked correct as long as what you enter is within 0.5 of the correct answer.] Answer:

Added by Christopher C.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Sri K

06/22/2022

Step 1

First, calculate A^T: A^T = [0, -1, 2; -11, 0, 0; 2, -1, 0] Next, calculate A A^T: A A^T = [0*0 + (-11)*(-1) + 2*2, 0*(-11) + (-11)*0 + 2*0, 0*2 + (-1)*(-1) + 2*0; -1*0 + 0*(-1) + (-1)*2, -1*(-11) + 0*0 + (-1)*0, -1*2 + 0*(-1) + (-1)*0; 2*0 + 0*(-1) + 0*2, 2*(-11) Show more…

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Consider matrix A and vectors x and y. Calculate matrix B = (A - A^T)^2 and vector w = Bx. Then, evaluate the scalar product w · y. [Please enter your answer numerically. You will be marked correct as long as what you enter is within 0.5 of the correct answer.]