All categories

2 years ago

Show that the transformation T defined byT(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.

Mathematics

1 answer:

erastovalidia [21]2 years ago

4 0

Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=> T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=> T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

You might be interested in

I don’t know if it’s wrong or not

faltersainse [42]

I actually think that it is 50

5 0

3 years ago

if you were asked to load 225 boxes onto a truck and the boxes are crated with each crate containing nine boxes how many crates

jeyben [28]

25

Steps: 225 / 9 = 25 crates

4 0

3 years ago

What is 25% 136 so I know

tigry1 [53]

It's 34.

You can either intuitively know 25% means one-fourth and divide 136 by 4

Or

Convert the percentage to a decimal and multiply. 136 * 0.25 = 34

8 0

3 years ago

I need help ASAP could someone help with this?

Varvara68 [4.7K]

=) sorry. but i do not know this. i hope somebody helps you out> =)

4 0

3 years ago

Jose equation is -4(x+2) = 8x+16 says to jill “I can solve for the variable in this equation in at least 4 different ways

erastovalidia [21]

Answer:

that is step 1 and step 2 and step3

step 4

Let's solve your equation step-by-step.

−4(x+2)=8x+16

Step 1: Simplify both sides of the equation.

−4(x+2)=8x+16

(−4)(x)+(−4)(2)=8x+16(Distribute)

−4x+−8=8x+16

−4x−8=8x+16

Step 2: Subtract 8x from both sides.

−4x−8−8x=8x+16−8x

−12x−8=16

Step 3: Add 8 to both sides.

−12x−8+8=16+8

−12x=24

Step 4: Divide both sides by -12.

−12x

−12

x=−2

Answer:

x=−2

6 0

3 years ago

Show that the transformation T defined byT(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.​

Show that the transformation T defined byT(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.