a Consider the vector space W { : a + d = 0} of 2 × 2 matrices having trace c d 3 zero. Also let v = 4 -3 (2a) Find two different ordered bases S and T for W. (2b) Determine [v]s and [v]r. (2c)...


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a<br>Consider the vector space W<br>{<br>: a + d = 0} of 2 × 2 matrices having trace<br>c d<br>3<br>zero. Also let v =<br>4 -3<br>(2a) Find two different ordered bases S and T for W.<br>(2b) Determine [v]s and [v]r.<br>(2c) Determine Ps-r and Qr-s and verify [v]s = Ps-r[v]T_and [v]r = Qr-s[v]s•<br>

Extracted text: a Consider the vector space W { : a + d = 0} of 2 × 2 matrices having trace c d 3 zero. Also let v = 4 -3 (2a) Find two different ordered bases S and T for W. (2b) Determine [v]s and [v]r. (2c) Determine Ps-r and Qr-s and verify [v]s = Ps-r[v]T_and [v]r = Qr-s[v]s•

Jun 05, 2022
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