Introduction to study online elementary matrices:
The online studying process of the elementary matrices represents the different learning way in its element representation and in operations by which the elements act under the corresponding operation. The operations in the matrices generally involve addition, subtraction, multiplication, division, inverse operations, etc.. In this article we are going to see the matrices operation with the elementary operation.
consider the matrix H = ` [[-7,197,7],[-97,97,197]]` It have the dimension of 2 x 3 order.
Total elements calculation 2 x 3 = 6 elements.
consider H = ` [[-7,197,7]]` It have the dimension of 1 x 3 order.
Total elements calculation 1 x 3 = 3 elements
Study online elementary matrices with examples
Online studying for the elementary matrices with the help
`[[12,13,14,15],[21,22,23,24],[25,26,27,28]]` = `[[12,13,14,15],[21,22,23,6x],[25,26,27,28]]`
Solution:
Here the matrices present on the left side and the right side are equal in the dimension of 3 x 3.
Y = `[[Y_11,Y_12 ,Y_13,Y_14 ],[Y_21 ,Y_22 ,Y_23,Y_24 ],[Y_31 ,Y_32 ,Y_33,Y_34 ]]` =`[[12,13,14,15],[21,22,23,24],[25,26,27,28]]`
Y11 = 12 Y12 = 13 Y13 = 14 Y14 = 15
Y21 =21 Y 22 =22 Y23 = 23 Y24 =24
Y31 = 25 Y32 = 26 Y33 = 27 Y34 = 28
And R = `[[R_11,R_12 ,R_13,R_14 ],[R_21 ,R_22 ,R_23,R_24 ],[R_31 ,R_32 ,R_33,R_34 ]]` =`[[12,13,14,15],[21,22,23,6x],[25,26,27,28]]`
R11 = 12 R12 = 13 R13 = 14 R14 = 15
R21 =21 R22 =22 R23 = 23 R24 =6x
R31 = 25 R32 = 26 R33 = 27 R34 = 28
In the given problem the similarity exists in the matrices
Y24 = 24 and R24 = 6x
The similar matrices having the elements same
Y24 = R24
6x = 24
And therefore the constant x = 4 is the answer.
Understanding Elementary Row Operations is always challenging for me but thanks to all math help websites to help me out.
Problems to study online elementary matrices
Online studying for the elementary matrices with the help
`[[12,13,14,15],[21,22,23,24]]` = `[[12,13,14,15],[21,22,23,6x]]`
Solution:
Here the matrices present on the left side and the right side are equal in the dimension of 3 x 3.
Y = `[[Y_11,Y_12 ,Y_13,Y_14 ],[Y_21 ,Y_22 ,Y_23,Y_24 ]]` =`[[12,13,14,15],[21,22,23,24]]`
Y11 = 12 Y12 = 13 Y13 = 14 Y14 = 15
Y21 =21 Y 22 =22 Y23 = 23 Y24 =24
And R = `[[R_11,R_12 ,R_13,R_14 ],[R_21 ,R_22 ,R_23,R_24 ]]` =`[[12,13,14,15],[21,22,23,6x]`
R11 = 12 R12 = 13 R13 = 14 R14 = 15
R21 =21 R22 =22 R23 = 23 R24 =6x
In the given problem the similarity exists in the matrices
Y24 = 24 and R24 = 6x
The similar matrices having the elements same
Y24 = R24
6x = 24
And therefore the constant x = 4 is the answer.
The online studying process of the elementary matrices represents the different learning way in its element representation and in operations by which the elements act under the corresponding operation. The operations in the matrices generally involve addition, subtraction, multiplication, division, inverse operations, etc.. In this article we are going to see the matrices operation with the elementary operation.
consider the matrix H = ` [[-7,197,7],[-97,97,197]]` It have the dimension of 2 x 3 order.
Total elements calculation 2 x 3 = 6 elements.
consider H = ` [[-7,197,7]]` It have the dimension of 1 x 3 order.
Total elements calculation 1 x 3 = 3 elements
Study online elementary matrices with examples
Online studying for the elementary matrices with the help
`[[12,13,14,15],[21,22,23,24],[25,26,27,28]]` = `[[12,13,14,15],[21,22,23,6x],[25,26,27,28]]`
Solution:
Here the matrices present on the left side and the right side are equal in the dimension of 3 x 3.
Y = `[[Y_11,Y_12 ,Y_13,Y_14 ],[Y_21 ,Y_22 ,Y_23,Y_24 ],[Y_31 ,Y_32 ,Y_33,Y_34 ]]` =`[[12,13,14,15],[21,22,23,24],[25,26,27,28]]`
Y11 = 12 Y12 = 13 Y13 = 14 Y14 = 15
Y21 =21 Y 22 =22 Y23 = 23 Y24 =24
Y31 = 25 Y32 = 26 Y33 = 27 Y34 = 28
And R = `[[R_11,R_12 ,R_13,R_14 ],[R_21 ,R_22 ,R_23,R_24 ],[R_31 ,R_32 ,R_33,R_34 ]]` =`[[12,13,14,15],[21,22,23,6x],[25,26,27,28]]`
R11 = 12 R12 = 13 R13 = 14 R14 = 15
R21 =21 R22 =22 R23 = 23 R24 =6x
R31 = 25 R32 = 26 R33 = 27 R34 = 28
In the given problem the similarity exists in the matrices
Y24 = 24 and R24 = 6x
The similar matrices having the elements same
Y24 = R24
6x = 24
And therefore the constant x = 4 is the answer.
Understanding Elementary Row Operations is always challenging for me but thanks to all math help websites to help me out.
Problems to study online elementary matrices
Online studying for the elementary matrices with the help
`[[12,13,14,15],[21,22,23,24]]` = `[[12,13,14,15],[21,22,23,6x]]`
Solution:
Here the matrices present on the left side and the right side are equal in the dimension of 3 x 3.
Y = `[[Y_11,Y_12 ,Y_13,Y_14 ],[Y_21 ,Y_22 ,Y_23,Y_24 ]]` =`[[12,13,14,15],[21,22,23,24]]`
Y11 = 12 Y12 = 13 Y13 = 14 Y14 = 15
Y21 =21 Y 22 =22 Y23 = 23 Y24 =24
And R = `[[R_11,R_12 ,R_13,R_14 ],[R_21 ,R_22 ,R_23,R_24 ]]` =`[[12,13,14,15],[21,22,23,6x]`
R11 = 12 R12 = 13 R13 = 14 R14 = 15
R21 =21 R22 =22 R23 = 23 R24 =6x
In the given problem the similarity exists in the matrices
Y24 = 24 and R24 = 6x
The similar matrices having the elements same
Y24 = R24
6x = 24
And therefore the constant x = 4 is the answer.
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