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serg [7]
3 years ago
15

3. Could a 5 x 8 matrix have dim Col A 6 and dim Nul A - 2? Justify your answer. (Hint: Think about the possible pivot rows and

columns
Mathematics
1 answer:
alexdok [17]3 years ago
4 0

Answer:

No

Step-by-step explanation:

A 5x8 matrix A represents a linear transformation between the vector space \mathbb{R}^8 and \mathbb{R}^5. Remeber that the columns of A generate the image of the linear transformation, which is a vector subspace of \mathbb{R}^5. Therefore, \dim \text{Col}A \leq 5, which is the dimension of the the total space.

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Y = -2(x + 5)(x + 1)<br> Set the factor (x + 5) = 0 and solve
Harrizon [31]

Answer: x=-5

Step-by-step explanation:

x+5=0 \implies x=-5

7 0
2 years ago
If you scale a figure by less than or less than 100% does the new copy increase or decrease in size? PLS HURRY IT'S LATE PLS I D
prisoha [69]

Answer:

Less

Step-by-step explanation:

100% is full size

6 0
2 years ago
Which of the following is a line segment as shown in the drawing?<br><br> ED<br> EH<br> DH<br> CD
Nata [24]

Answer:

so line CD

Step-by-step explanation:

a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

4 0
3 years ago
Read 2 more answers
Doors for the small cabinets are 17.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small
AleksAgata [21]

Answer:

3 large doors

Step-by-step explanation:

Given

Board = 12ft

Represent small door with S and large with L

S = 17.5\ in

From the question, we understand that;

L = 2.7 * S

So, we have that

L = 2.7 * 17.5\ in

L = 47.25\ in

Required

Determine the number of Large doors that can be cut from the board

To do this, we simply divide the size of the board by the size of the large cabinet

i.e.

Number = \frac{Board}{L}

Number = \frac{12\ ft}{47.25\ in}

Convert feet to inches

Number = \frac{12 * 12\ in}{47.25\ in}

Number = \frac{144\ in}{47.25\ in}

Number = 3.04761904762

Get the integer part of the decimal

Number = 3

Hence:

3 large doors can be gotten from the board

8 0
2 years ago
PLEASE HELP FAST
skad [1K]

Answer:

The unit vector u is (-5/√29) i - (2/√29) j

Step-by-step explanation:

* Lets revise the meaning of unit vector

- The unit vector is the vector ÷ the magnitude of the vector

- If the vector w = xi + yj

- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w

- The unit vector u in the direction of w is u = w/IwI

- The unit vector u = (xi + yj)/√(x² + y²)

- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j

* Now lets solve the problem

∵ v = -5i - 2j

∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29

- The unit vector u = v/IvI

∴ u = (-5i - 2j)/√29 ⇒ spilt the terms

∴ u = (-5/√29) i - (2/√29) j

* The unit vector u is (-5/√29) i - (2/√29) j

8 0
3 years ago
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