710 CHAPTER 10 1 Systems 3 0 -1 0 2 0 0 1 1 0 0 19. 1 0 0 0 0 0 0 0

Q: A matrix could have two  row echelon forms with different pivot positions.  true or false

A: We have to check whether the given statement is true or false.

Q: Convert the augmented matrix 4 -1 -4 - -1 -4 0 5-2 to the equivalent linear system. Use x1 and x2 to…

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Q: A bakery sells cream pies and carrot cakes. Each cream pie requires 30 minutes preparation time, 30…

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Q: Provide an example of an elementary matrix for each of the three types of row operations and clearly…

A: The three types of elementary row operations on a matrix : (1) Interchange two rows (2) Multiply…

Q: Write the augmented matrix of the system 36x 2x 77x +6y +64y +33z -Z = || || || = 6 -5 = -1

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Q: Determine if the statement is true or false. If two matrices are equivalent, then one can be…

A: According to the definition, Two matrices are said to be equivalent if they can be transformed into…

Q: If A is a 4 X 2 matrix, explain why the rows of A must be linearly dependent.

A: If A is a 4 x 2 matrix, then it has 4 rows and 2 columns. Each row can be thought of as a vector in…

Q: Describe how the rank of a matrix can be used to determine if a system of equations has one solution…

A: Describe how the rank of a matrix can be used to determine if a system of equations has one solution…

Q: Envision a 2 x 3 matrix.

A: Let A be the matrix with order 2×3, which represents 2 as number of rows and 3 as number of columns.

Q: Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2х2 +3х3 +x4 10 Bring the…

A: The given system of linear equation is  x1-x2+x3+x4=3-2x1+x2-2x3=-73x1-2x2+3x3+x4=10 ............(1)

Q: The product of a 2 ´ 3 matrix and a 3 ´ 2 matrix is

A: When we do multiplication: The number of columns of the 1st matrix must equal the number of rows…

Q: If A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent.

A: In A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent. You have 5 column…

Q: the matrix is supposed to be 3x4

A: Here in the solution the echolon form is of form 4x2 but the matrix should be 3x4.  Given vectors…

Q: Reduce the matrix -1 2 -2 2 A = 3 0 3 -1 3 21 to reduced row-echelon form.

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Q: What is a row matrix?

A: A matrix having only one row is called a row matrix.For example

Q: Use the matrix A to encode the phrase "GO TO PLAN B".

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