Two breakfast cereals named Fauji Cereals and Kisan Cereals give a certain amount of nutrients in one serving. Fauji Cereal gives 110 calories, 4(g) of proteins, 20(g) of carbohyderates, 2(g) of fat while Kisan Cereals gives 130 calories, 3(g) of proteins, 18(g) of carbohyderates, 5(g) of fat respectively. Write a matrix vector equation so that mixture of these two cereals is to be prepared that contains exactly 295 calories, 9(g) of proteins, 48(g) of carbohyderates and 8(g) of fat. Also explain the meaning of unknowns appearing in the equation and solve the system.

Q: Suppose the coefficient matrix of a linear system of three equations in three variables has a pivot…

A:

Q: Choose three different non-zero digits from your student ID number. Using only these numbers as…

A: The solution of above question is written below.

Q: The matrix used to represent a system of linear equations is called a(n)_____ matrix

A: Given, The matrix used to represent a system of linear equations is called a(n) ______ matrix.

Q: What are the three elementary matrix row operations?

A: What are the three elementary matrix row operations?

Q: Can an external demand be met by an economy whose technology matrix is the identity matrix?

A: From Input o/p model X=AX+D

Q: If the augmented matrix of a system of 22 two variables x and y is 1-2 then the value of x = and y =

A:

Q: A company manufactures two types of TV set, which are assembled and finished in two workshops W1 and…

A: Let the workshops W1 is x types and W2 is y types produced                                  Assembly…

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: What is a matrix?

A: Definition :                           A rectangular array of m × n numbers ( real or…

Q: 1 2 0 1 2 3

A:

Q: If you multiply a 2x3 and 2x3 matrix the size of the resulting matric is A. 3x2 B . 3x1 C. 2x3…

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Q: why is the matrix like that?

A:

Q: 1 -6 4 0 -1 2 -7 0 4 1 2 -3 0. 3 1

A:

Q: Explain why multiplying a row of an augmented matrix by a nonzero constant results in an augmented…

A: Consider the provided statement, “multiplying a row of an augmented matrix by a nonzero constant…

Q: Explain row vector in a 1 x n matrix?

A: To analyze row vector in a 1 × n matrix.

Q: If a matrix is in reduced row echelon form, then the entry in its bottom left-hand corner must be 0.…

A: Given statement is  If a matrix is in reduced row echelon form, then the entry in its bottom…

Q: Give a specific symmetric 3x3 matrix whose first row is [1 9 -2] 6. and whose second column is row…

A:

Q: What do you mean by transpose of a matrix? Explain their properties?

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Q: Explain why the matrix is not diagonalizable.

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Q: product of a matrix and its inverse is

A: Matrix: Let A be a matrix  B is the inverse of the matrix. A=B-1 AB=I

Q: Explain the term symmetric matrix.

A:

Q: Last week at an insurance company, Yibin sold an average of 10 automobile and 5 homeowner policies…

A: We have to find the matrix and number of automobile and homeowner policies sold.

Q: Express as a single matrix.

A: Given,

Q: The reduced row echelon form of a matrix is unique. Select one: True False

A: The reduced row echelon form of a matrix is unique.

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: An outbreak of Chicken Pox hit the local public schools. Approximately 15% of the male and female…

A: To find out the number of healthy males we have to compute= number of junior males×percentage +…

Q: Explain why interchanging two rows of an augmented matrix results in an augmented matrix that…

A: Given:

Q: Explain the rank of a matrix?

A: The rank of a matrix is defined as the maximum number of linearly independent column vectors in the…

Q: If a 4*3 coefficient matrix for a system of equations has 3 pivots, then the system is consistent.…

A: given that we have a matrix of order 4*3. and it has 3 pivots.

Q: Explain the difference between a matrix in row-echelon form and reduced row-echelon form.

A: The difference between a reduced echelon form and an echelon form is that the elements above and…

Q: Determine the rank of the matrix. 1 -2 2 -3] 6) 2 -4 7 -2 -3 6 -6 9

A: We have to solve given problem:

Q: Suppose the coefficient matrix of a system of linear equationshas a pivot position in every row.…

A: Given that the coefficient matrix of a system of linear equations has a pivot position in every row.…

Q: Find general solution of linear system whoes augmented matrix is ( 1 -3 -5 0    0  1  1 3)

A: Given: The augmented matrix of system of linear equation as 1-3-5|0011|3 To find: The general…

Q: How do I know if I can invert a matrix or not? What is a square matrix?

A: Ans(i):

Q: Find all the possible dimensions of the solution set of a system of linear equations whose augmented…

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Q: Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in…

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Q: We can add two matrices having real numbers A and B if their Elements are same Order is same Rows…

A: This is the basic rule about matrix addition

Q: Every matrix has a unique reduced echelon form. Is this true or false?

A: Given statement is “Every matrix has a unique reduced echelon form. Is this true or false?”

Q: matrix A and an echelon form

A: We have to find out the basis for Col A and a basis for Nul A.

Q: Suppose an organism moves down a sloped surface along the steepest line of descent, i.e., the…

A:

Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. Select one:…

A:

Q: Suppose the coefficient matrix of a system of linear equations has a pivot position in every row.…

A: The coefficient matrix of a linear system has a pivot in each row. The objective is to explain why…

Q: Consider the system 1 2 2 1 3 6 13 Write the matrix-vector product on the left side of this equation…

A: Given the system 12-1213 x1x2x3 = 26

Q: If A and B square matrices of the same order. then (A+ B)(A - B) is equal to

A: Last option is the correct option. (A+B)(A-B)=A2-B2+BA-AB

Q: what does it mean for two matrices to be similar? If A and B are similar, list all properties that…

A: The linear algebra is used for solving system of linear equations. The matrices can be formed by…

Q: A matrix with the same number of rows and columns is called a __________ matrix.

A: A matrix with the same number of rows and columns is called a square matrix.