Matrix and Tangent questions

Question

Q1)

 

Q2)

 

Q3)

For each of the following systems of linear equations write down the augmented matrices

 

 

 

 

Answer 1

Q2) The matrix is

The augmented matrix, place

the coefficients of x - terms of equations are listed in first column,

the coefficients of y - terms of equations are listed in second column,

the coefficients of z - terms of equations are listed in third column and

the constant terms of equations are listed in fourth column.

The coefficients and constant terms are usually separated by last line.

Q3)(i) The linear equations are 5x - 5y = 5 and 3x + 2y = -5

The aumented matrix is

(ii) The linear equations are 3x +3y = 2 and - 5x + 4y = - 2

The aumented matrix is

b) The equations are a + b = 2, 2b - 3c = -3 and 3c + 4d = -1

Rows of augmented matrix = 3 and Columns of augment matrix = 5

The augmented matrix is

c) The augmented matrix is

Linear equations are x + 2y = 5

3x + y - z = 0

-2y + z = 2.

 

Answer 2

(Q1).

The tangent line equation is y = πx - 2π.