a.
To determine: The matrix
The given identity is true.
Given Information:
The matrix is defined as,
And Construction A building contractor has agreed to build six ranch-style houses, seven Cape Cod-style houses, and 14 colonial-style houses. The numbers of units of raw materials that go into each type of house are shown in matrix R .
Explanation:
Consider the given matrix,
It is know that there are three type of material making house and A building contractor has agreed to build six ranch-style houses, seven Cape Cod-style houses, and 14 colonial-style houses.
Write them in matrix form.
Therefore, the required matrix is
b.
To determine: The matrix product that gives the number of units of each row material needed to build the houses.
The obtained matrix is
Given Information:
The matrix is defined as,
And,
Explanation:
Consider the given matrix,
And,
Now, multiply both the matrix.
Therefore, the obtained matrix is
c.
To determine: The matrix C of
The obtained matrix is
Given Information:
Refer the matrix form the previous parts.
Explanation:
Consider the given information,
Assume that steel costs $1600 a unit, wood $900 a unit, glass $500 a unit, paint $100 a unit, and labour $1000 a unit.
Now, make the cost matrix.
Therefore, the above matrix is the required matrix.
d.
To determine: The matrix product that givens the cost of each house.
The result is
Given Information:
Refer the previous part matrix.
Explanation:
Consider the given identity,
The matrix R and C is defined as,
Now, calculate the matrix multiplication
Therefore, the obtained matrix is
e.
To determine: The product of
The result is
Given Information:
Refer the previous part matrix.
Explanation:
Consider the given matrix,
Now, calculate the matrix multiplication
And this is representing that this is the contractor's total cost to build all the houses.
Therefore, the obtained matrix is
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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