WebSuppose the following row operations are performed on a 3 by 3 matrix N: first 3 times row 1 is added to row 3, then row 2 and row 3 are switched.Finally row 2 is added to row 3. Write the matrix M which accomplishes these operations in this order, when multiplying on the left, as in MN?Explain in detail how you found M. Web2.5 If A is the matrix find b and c so that Ax = b has no solution and Ax = c has a solution. 2.6 What 3 by 3 matrix L adds 5 times row 2 to row 3 and then adds 2 times row 1 to row 2, when it multiplies a matrix with three rows? 2.7 What 3 by 3 matrix E subtracts 2 times row I from row 2 and then subtracts 5 times row 2 from row 3?
18.06 Problem Set 2 Solution - MIT
WebSection 2.3 - 1,2,3,7,17 Section 2.4 - 1,2,13,14,32 1 Section 2.3 - Elimination Using Matrices 2.3.1 Write down the 3by 3matrices that produce these elimination steps: (a) E21 … Web1 Write down the 3 by 3 matrices that produce these elimination steps: (a) E21 subtracts 5 times row 1 from row 2. (b) E32 subtracts -7 times row 2 from row 3. (c) P exchanges rows 1 and 2, then rows 2 and 3. 63 2 In Problem 1, applying E21 and then E32 to b = (1,0,0) gives E32E21b = __ Applying E32 before E21 gives E21 E 32 b . how many miles per year car
Elimination and matrix operations - softmath
WebJan 4, 2024 · Having a -3 in the (3, 1) place in E means that the third row has 3 times the first row subtracted from it. We can see where this comes from — our first step of elimination (E21) is to subtract 2 times the first row away from the second row. Our second step (E31) is to subtract 1 times the first row away from the third row. WebFeb 12, 2024 · Math 2270 - Assignment 3 Dylan Zwick Fall 2012 Section 2.3 - 1,2,3,7,17 Section 2.4 - 1,2,13,14,32 1 Section 2.3 - Elimination Using Matrices 2.3.1 Write down the 3 by 3 matrices that produce these elimination steps: (a) E21 subtracts 5 times row 1 from row 2. (b) E32 subtracts −7 times row 2 from row 3. http://www.ams.stonybrook.edu/~jpetrill/210/hw/AMS210_HW5_SOL.pdf how many miles should a car get