Question: led - 1 - MATH 2164 Homework #3 Spring 2023 Instr. Sonin Due Friday, February 17, 11:59 pm NAME_Alimatov (25 + 5 + 5 points)

led - 1 - MATH 2164 Homework #3 Spring 2023 Instr. Sonin Due Friday, February 17, 11:59 pm NAME_Alimatov (25 + 5 + 5 points) Show all work on problems ! Check your answers ! (5) 1. The Wheatstone bridge is used to determine an unknown resistance Rs by adjusting a known resistance R, so that the measured current (in r ) is zero. 145 Determine the formula for R3 using the linear system for the loop currents. ( 1 ) "(I,- Iz ) +... 8 ( RIRQ - R2 R3) = 0 (2 ) R2 7 2 +r ( = 0 (3 ) RX( =- V (2) 2. Using the definition of linear transformation show that the transformation T defined by T(21, 22) = (21 - 2x2, X1 - | X2 ) is not linear. (| a | is the absolute value of a). T ( X X 2 ) = ( x 1 2 x 2 1 X 1 - 1 x 21 ) x = (91 , 92) and p= ( b 1 62) 19 2 + 62 1 # kl +1bal let a2= - 3, by = s i. not linear (91 +by ) = 2 1 9 + 621 2 8

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