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construct a3×3matric A=(aij) whose elements are given by aij=i/j
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construct a3×3matric A=(aij) whose elements are given by aij=i/j Relat...
**Construction of the 3x3 Matrix A**
To construct a 3x3 matrix A with elements given by aij = i/j, we need to determine the value of each element based on its position in the matrix. Let's go step by step to construct the matrix:
1. **Determining the Value of a11 (First Row, First Column)**
In this case, a11 = 1/1 = 1.
2. **Determining the Value of a12 (First Row, Second Column)**
Here, a12 = 1/2 = 0.5.
3. **Determining the Value of a13 (First Row, Third Column)**
For a13, we have a13 = 1/3 = 0.33 (rounded to two decimal places).
4. **Determining the Value of a21 (Second Row, First Column)**
In this case, a21 = 2/1 = 2.
5. **Determining the Value of a22 (Second Row, Second Column)**
Here, a22 = 2/2 = 1.
6. **Determining the Value of a23 (Second Row, Third Column)**
For a23, we have a23 = 2/3 = 0.67 (rounded to two decimal places).
7. **Determining the Value of a31 (Third Row, First Column)**
In this case, a31 = 3/1 = 3.
8. **Determining the Value of a32 (Third Row, Second Column)**
Here, a32 = 3/2 = 1.5.
9. **Determining the Value of a33 (Third Row, Third Column)**
For a33, we have a33 = 3/3 = 1.
Therefore, the elements of the matrix A are as follows:
A = |1 0.5 0.33|
|2 1 0.67|
|3 1.5 1 |
The matrix A is a 3x3 matrix with elements determined by the formula aij = i/j, where i represents the row number and j represents the column number. Each element is evaluated based on its position, and the resulting values are placed in the corresponding positions within the matrix.
To construct a 3x3 matrix A with elements given by aij = i/j, we need to determine the value of each element based on its position in the matrix. Let's go step by step to construct the matrix:
1. **Determining the Value of a11 (First Row, First Column)**
In this case, a11 = 1/1 = 1.
2. **Determining the Value of a12 (First Row, Second Column)**
Here, a12 = 1/2 = 0.5.
3. **Determining the Value of a13 (First Row, Third Column)**
For a13, we have a13 = 1/3 = 0.33 (rounded to two decimal places).
4. **Determining the Value of a21 (Second Row, First Column)**
In this case, a21 = 2/1 = 2.
5. **Determining the Value of a22 (Second Row, Second Column)**
Here, a22 = 2/2 = 1.
6. **Determining the Value of a23 (Second Row, Third Column)**
For a23, we have a23 = 2/3 = 0.67 (rounded to two decimal places).
7. **Determining the Value of a31 (Third Row, First Column)**
In this case, a31 = 3/1 = 3.
8. **Determining the Value of a32 (Third Row, Second Column)**
Here, a32 = 3/2 = 1.5.
9. **Determining the Value of a33 (Third Row, Third Column)**
For a33, we have a33 = 3/3 = 1.
Therefore, the elements of the matrix A are as follows:
A = |1 0.5 0.33|
|2 1 0.67|
|3 1.5 1 |
The matrix A is a 3x3 matrix with elements determined by the formula aij = i/j, where i represents the row number and j represents the column number. Each element is evaluated based on its position, and the resulting values are placed in the corresponding positions within the matrix.
Community Answer
construct a3×3matric A=(aij) whose elements are given by aij=i/j Relat...
[a11 a12 a13
a21 a22 a23
a31 a32 a33]
aij=i/j
a11=1/1 a12=1/2 a13=1/3
=1 =1/2 =1/3
a21=2/1 a22=2/2 a23=2/3
=2 =1 =2/3
a31=3/1 a32=3/2 a33=3/3
=3 =3/2 =1
final answer:
[1 1/2 1/3
2 1 2/3
3 3/2 1]
hope ur helped by this answer
a21 a22 a23
a31 a32 a33]
aij=i/j
a11=1/1 a12=1/2 a13=1/3
=1 =1/2 =1/3
a21=2/1 a22=2/2 a23=2/3
=2 =1 =2/3
a31=3/1 a32=3/2 a33=3/3
=3 =3/2 =1
final answer:
[1 1/2 1/3
2 1 2/3
3 3/2 1]
hope ur helped by this answer
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construct a3×3matric A=(aij) whose elements are given by aij=i/j Related: NCERT Solutions, Matrices, Exercise 3.1, Class 12, Maths
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construct a3×3matric A=(aij) whose elements are given by aij=i/j Related: NCERT Solutions, Matrices, Exercise 3.1, Class 12, Maths for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about construct a3×3matric A=(aij) whose elements are given by aij=i/j Related: NCERT Solutions, Matrices, Exercise 3.1, Class 12, Maths covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for construct a3×3matric A=(aij) whose elements are given by aij=i/j Related: NCERT Solutions, Matrices, Exercise 3.1, Class 12, Maths.
construct a3×3matric A=(aij) whose elements are given by aij=i/j Related: NCERT Solutions, Matrices, Exercise 3.1, Class 12, Maths for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about construct a3×3matric A=(aij) whose elements are given by aij=i/j Related: NCERT Solutions, Matrices, Exercise 3.1, Class 12, Maths covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for construct a3×3matric A=(aij) whose elements are given by aij=i/j Related: NCERT Solutions, Matrices, Exercise 3.1, Class 12, Maths.
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