the product of the elements on the minor diagonal of matrix
is 10.
the steps of calculating the product of the elements on the minor diagonal of a 2x2 matrix
.
Given matrix
with elements:
![\[ A = \begin{bmatrix} a_(11) & a_(12) \\ a_(21) & a_(22) \end{bmatrix} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/6l2rg8h25uzqj8b3x4n5sevvujf8ww8pdt.png)
The elements of matrix
are provided as follows:
![\[ a_(11) = 3, \quad a_(12) = 2, \quad a_(21) = 5, \quad a_(22) = 8 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/8dq01d2qqwtgclm42n5d3dh4gc9i4987gl.png)
The minor diagonal of matrix
consists of the elements
and
. 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:
and

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

-

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

- Product =

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
:
1. Identify the elements on the minor diagonal:
and
. In this case, they are 5 and 2, respectively.
2. Multiply these two values together to get the product:
![\[ 5 * 2 = 10 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/74vp2e9irfwivlpf23ghswfsnadjjkj2fd.png)
Therefore, the product of the elements on the minor diagonal of matrix
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
are provided as follows:
![\[ a_(11) = 3, \quad a_(12) = 2, \quad a_(21) = 5, \quad a_(22) = 8 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/8dq01d2qqwtgclm42n5d3dh4gc9i4987gl.png)