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Mekhanik [1.2K]
3 years ago
13

Using the matrices below determine if the product of AB is defined. If defined, state the dimension (Picture provided)

Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

option C. Defined, 3 x 3

Step-by-step explanation:

The order of matrix A is 3 x 2 i.e 3 rows and 2 columns

The order of matrix B is 2 x 3 i.e. 2 rows and 3 columns

Two matrices can be multiplied if and only if the number of columns of 1st matrix is equal to the number of rows of 2nd matrix. Since the number of columns in matrix A is equal to the number of rows in matrix B, the product AB is defined.

The product AB will have number of rows equal to the rows of 1st matrix i.e. matrix A and number of columns equal to the columns of 2nd matrix i.e. matrix B.

So the order of AB will be 3 x 3 .

Therefore, the correct answer is option C. Defined 3 x 3

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
svet-max [94.6K]

Answer:

tan (C) = 2.05

Step-by-step explanation:

Given:

A right angled triangle CDE right angled at ∠D.

Side CD = 39

Side DE = 80

Side CE = 89

We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.

Therefore, tangent of angle C is given as:

\tan(\angle C)=\frac{DE}{CD}

Plug in the given values and solve for angle C.This gives,

\tan(\angle C)=\frac{80}{39}\\\\\tan(\angle C)=2.051\approx 2.05(Rounded\ to\ nearest\ hundredth)

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3 years ago
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Andreyy89

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2 years ago
Which ordered pale is a solution to the system of equations?
Softa [21]

Answer:

c) (-2, 1)

Step-by-step explanation:

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y = -2(-2) -3

y = 4 - 3

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(x, y) --> (-2,1)

Check your answer:

y = -2x - 3

1 = -2(-2) - 3

1 = 4 - 3

1 = 1

This statement is true

Hope this helps!

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