1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter4: Systems Of Linear Equations
4.1 Solve Systems Of Linear Equations With Two Variables 4.2 Solve Applications With Systems Of Equations 4.3 Solve Mixture Applications With Systems Of Equations 4.4 Solve Systems Of Equations With Three Variables 4.5 Solve Systems Of Equations Using Matrices 4.6 Solve Systems Of Equations Using Determinants 4.7 Graphing Systems Of Linear Inequalities Chapter Questions Section4.5: Solve Systems Of Equations Using Matrices
Problem 4.73TI: Write each system of linear equations as an augmented matrix: (a) {3x+8y=32x=5y3... Problem 4.74TI: Write each system of linear equations as an augmented matrix: (a) {11x=9y57x+5y=1 (b)... Problem 4.75TI: Write the system of equations that corresponds to the augmented matrix: [112321214120] . Problem 4.76TI: Write the system of equations that corresponds to the augmented matrix: [111423181113] . Problem 4.77TI: Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 3. (b) Multiply... Problem 4.78TI: Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 2, (b) Multiply... Problem 4.79TI: Perform the needed row operation that will get the first entry in row 2 to be zero in the augmented... Problem 4.80TI: Perform the needed row operation that will get the first entry in row 2 to be zero in the augmented... Problem 4.81TI: Solve the system of equations using a matrix: {2x+y=7x2y=6 . Problem 4.82TI: Solve the system of equations using a matrix: {2x+y=4x2y=2 . Problem 4.83TI: Solve the system of equations using a matrix: {2x5y+3z=83xy+4z=7x+3y+2z=3 . Problem 4.84TI: Solve the system of equations using a matrix: {3x+y+z=4x+2y2z=12xyz=1 . Problem 4.85TI: Solve the system of equations using a matrix: {x2y+2z=12x+yz=2xy+z=5 . Problem 4.86TI: Solve the system of equations using a matrix: {3x+4y3z=22x+3yz=12x+y2z=6 . Problem 4.87TI: Solve the system of equations using a matrix: {x+yz=02x+4y2z=63x+6y3z=9 . Problem 4.88TI: Solve the system of equations using a matrix: {xyz=1x+2y3z=43x2y7z=0 . Problem 196E: In the following exercises, write each system of linear equations as an augmented matrix. 196. (a)... Problem 197E: In the following exercises, write each system of linear equations as an augmented matrix. 197. (a)... Problem 198E: In the following exercises, write each system of linear equations as an augmented matrix. 198. (a)... Problem 199E: In the following exercises, write each system of linear equations as an augmented matrix. 199. (a)... Problem 200E: Write the system of equations that that corresponds to the augmented matrix. 200. [2113|42] Problem 201E: Write the system of equations that that corresponds to the augmented matrix. 201. [2433| 2 1] Problem 202E: Write the system of equations that that corresponds to the augmented matrix. 202. [103120012| 1 23] Problem 203E: Write the system of equations that that corresponds to the augmented matrix. 203. [220021301| 12 2] Problem 204E: In the following exercises, perform the indicated operations on the augmented matrices. 204.... Problem 205E: In the following exercises, perform the indicated operations on the augmented matrices. 205. [4632|... Problem 206E: In the following exercises, perform the indicated operations on the augmented matrices. 206.... Problem 207E: In the following exercises, perform the indicated operations on the augmented matrices. 207.... Problem 208E: In the following exercises, perform the indicated operations on the augmented matrices. 208. Perform... Problem 209E: In the following exercises, perform the indicated operations on the augmented matrices. 209. Perform... Problem 210E: In the following exercises, solve each system of equations using a matrix. 210. {2x+y=2xy=2 Problem 211E: In the following exercises, solve each system of equations using a matrix. 211. {3x+y=2xy=2 Problem 212E: In the following exercises, solve each system of equations using a matrix. 212. {x+2y=2x+y=4 Problem 213E: In the following exercises, solve each system of equations using a matrix. 213. {2x+3y=3x+3y=12 Problem 214E: In the following exercises, solve each system of equations using a matrix. 214.... Problem 215E: In the following exercises, solve each system of equations using a matrix. 215.... Problem 216E: In the following exercises, solve each system of equations using a matrix. 216.... Problem 217E: In the following exercises, solve each system of equations using a matrix. 217.... Problem 218E: In the following exercises, solve each system of equations using a matrix. 218. {x+2z=04y+3z=22x5y=3 Problem 219E: In the following exercises, solve each system of equations using a matrix. 219. {2x+5y=43yz=34x+3z=3 Problem 220E: In the following exercises, solve each system of equations using a matrix. 220.... Problem 221E: In the following exercises, solve each system of equations using a matrix. 221. {3xz=35y+2z=64x+3y=8 Problem 222E: In the following exercises, solve each system of equations using a matrix. 222.... Problem 223E: In the following exercises, solve each system of equations using a matrix. 223.... Problem 224E: In the following exercises, solve each system of equations using a matrix. 224.... Problem 225E: In the following exercises, solve each system of equations using a matrix. 225.... Problem 226E: In the following exercises, solve each system of equations using a matrix. 226.... Problem 227E: In the following exercises, solve each system of equations using a matrix. 227.... Problem 228E: In the following exercises, solve each system of equations using a matrix. 228. {x+y3z=1yz=0x+2y=1 Problem 229E: In the following exercises, solve each system of equations using a matrix. 229.... Problem 230E: Solve the system of equations {x+y=10xy=6 (a) by graphing and (b) by substitution. (c) Which method... Problem 231E: Solve the system of equations {3x+y=12x=y8 by substitution and explain all your steps in words. Problem 4.78TI: Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 2, (b) Multiply...
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Transcribed Image Text: 2 -
Given matrix A = applying
-5
3.
row operation it become : ,
2 -61
-3 -3]
what row operation used?
a. interchange to rows.
b. multiply of a row by a nonzero constant.
C. add multiple of a row to another row.
d. subtract the row to another row.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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![2 -
Given matrix A = applying
-5
3.
row operation it become : ,
2 -61
-3 -3]
what row operation used?
a. interchange to rows.
b. multiply of a row by a nonzero constant.
C. add multiple of a row to another row.
d. subtract the row to another row.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24cc1506-4f15-4414-a635-e7939ebabe93%2F08addcfc-31b4-49f8-8efb-cdb7a037cc1b%2F9ik2r9q_processed.png&w=3840&q=75)
