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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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Plz show me how to work this out
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Marianna went running and had 16 of a bottle of water left when she stopped to rest. She went to a water fountain and filled it
vovikov84 [41]

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7/100

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find the ordered pairs for the x- and y-intercepts of the equation 3x - 2y = 18 and select the appropriate option below.
Vladimir79 [104]

Answer:

Step-by-step explanation:

3x - 2y = 18

x -int

3x - 2(0) = 18

3x = 18

x = 6

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2 years ago
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Step-by-step explanation:

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2 years ago
The perimeter of a playing field for a certain sport is 174 ft. The field is a rectangle, and the length is 45 ft longer than th
Leno4ka [110]

Answer:

21 ft by 66 ft

Step-by-step explanation:

From the question,

P = 2(L+W)............... Equation 1

Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.

If the Length of the Field is 45 ft longer than the width,

L = 45+W............ Equation 2

Substitute Equation 2 into equation 1

P = 2(45+W+W)

P = 90+4W............. Equation 3

Given: P = 174 ft.

Substitute into equation 3

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W = 21 ft.

Substituting the value of W into equation 2

L = 45+21

L = 66 ft.

Hence the dimensions of the playing field is 21 ft by 66 ft

3 0
3 years ago
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