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Find the product of the elements on the minor diagonal of matrix A: d2 = (a 21)(a 12) =

User Rypskar
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2 Answers

4 votes

Final answer:

To find the product of the minor diagonal elements of matrix A, multiply elements a21 and a12 together.

Step-by-step explanation:

The task is to find the product of the elements on the minor diagonal of matrix A, which are represented as a21 and a12. The minor diagonal of a matrix runs from the bottom left corner to the top right corner. Therefore, the product referred to by the equation d2 = a21 × a12 can be obtained by multiplying these two elements together.

User Mechlar
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the product of the elements on the minor diagonal of matrix
\( A \) is 10.

the steps of calculating the product of the elements on the minor diagonal of a 2x2 matrix
\( A \).

Given matrix
\( A \) with elements:


\[ A = \begin{bmatrix} a_(11) & a_(12) \\ a_(21) & a_(22) \end{bmatrix} \]

The elements of matrix
\( A \) are provided as follows:


\[ a_(11) = 3, \quad a_(12) = 2, \quad a_(21) = 5, \quad a_(22) = 8 \]

The minor diagonal of matrix
\( A \) consists of the elements
\( a_(21) \) and
\( a_(12) \). These are the bottom-left and top-right elements of the matrix, respectively.

Now, let's calculate the product of these elements:

1. Identify the elements on the minor diagonal:
\( a_(21) \) and
\( a_(12) \).

2. Extract the given values for these elements from the information provided:

-
\( a_(21) = 5 \)

-
\( a_(12) = 2 \)

3. Multiply these two values together to get the product:

- Product =
\( a_(21) * a_(12) \)

- Product =
\( 5 * 2 \)

Let's perform the multiplication to get the final result.

Here's the detailed step-wise calculation for the product of the elements on the minor diagonal of matrix
\( A \):

1. Identify the elements on the minor diagonal:
\( a_(21) \) and
\( a_(12) \). In this case, they are 5 and 2, respectively.

2. Multiply these two values together to get the product:


\[ 5 * 2 = 10 \]

Therefore, the product of the elements on the minor diagonal of matrix
\( A \) is 10.

the complete Question is given below:

Find the product of the elements on the minor diagonal of matrix A: d2 = (a 21)(a 12) =

The elements of matrix
\( A \) are provided as follows:


\[ a_(11) = 3, \quad a_(12) = 2, \quad a_(21) = 5, \quad a_(22) = 8 \]

User Nasr
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8.5k points