2. Two m x n matrices A and B are equal if a,=b, for each i & j. (i.e., the two matrices have same size, and all the corresponding elements are equal). 3. Matrices A & B are said to be conformable in the order AB if, and only if, the number of rows in A is equal to the number of columns in B. 4. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2 columns. The product size of AB is a 4x 2 matrix. 5. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in a row/column by a non-zero constant and adding the result to the corresponding entries in another row/column. Then, det(B) = det(A). %3D 6. Cramer's rule is not applicable if the system is homogeneous. 7. Integer Powers of a complex number can also be obtained by multiplying a complex number in rectangular form by itself n times. 8. If a matrix is augmented, then any row operation performed to the augmented matrix must include the entries augmented to the original one. 9. The difference between a complex number z and its conjugate is a pure imaginary number. 10. If a complex number z is situated along the real x axis, then the complex conjugate of our complex number z remains the same.
2. Two m x n matrices A and B are equal if a,=b, for each i & j. (i.e., the two matrices have same size, and all the corresponding elements are equal). 3. Matrices A & B are said to be conformable in the order AB if, and only if, the number of rows in A is equal to the number of columns in B. 4. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2 columns. The product size of AB is a 4x 2 matrix. 5. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in a row/column by a non-zero constant and adding the result to the corresponding entries in another row/column. Then, det(B) = det(A). %3D 6. Cramer's rule is not applicable if the system is homogeneous. 7. Integer Powers of a complex number can also be obtained by multiplying a complex number in rectangular form by itself n times. 8. If a matrix is augmented, then any row operation performed to the augmented matrix must include the entries augmented to the original one. 9. The difference between a complex number z and its conjugate is a pure imaginary number. 10. If a complex number z is situated along the real x axis, then the complex conjugate of our complex number z remains the same.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![2. Two m x n matrices A and B are equal if a=b, for each i & j. (i.e., the two matrices have
same size, and all the corresponding elements are equal).
3. Matrices A & B are said to be conformable in the order AB if, and only if, the number of
rows in A is equal to the number of columns in B.
4. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2
columns. The product size of AB is a 4 x 2 matrix.
5. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in a
row/column by a non-zero constant and adding the result to the corresponding entries in
another row/column. Then, det(B) = det(A).
6. Cramer's rule is not applicable if the system is homogeneous.
7. Integer Powers of a complex number can also be obtained by multiplying a complex
number in rectangular form by itself n times.
8. If a matrix is augmented, then any row operation performed to the augmented matrix
must include the entries augmented to the original one.
9. The difference between a complex number z and its conjugate is a pure imaginary
number.
10. If a complex number z is situated along the real x axis, then the complex conjugate of
our complex number z remains the same.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01c18de7-eaa5-4786-aaec-2528daf49280%2Fc3cbc421-fdd3-4c6e-8c0a-a39db839fdf2%2Fl1e3gjb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Two m x n matrices A and B are equal if a=b, for each i & j. (i.e., the two matrices have
same size, and all the corresponding elements are equal).
3. Matrices A & B are said to be conformable in the order AB if, and only if, the number of
rows in A is equal to the number of columns in B.
4. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2
columns. The product size of AB is a 4 x 2 matrix.
5. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in a
row/column by a non-zero constant and adding the result to the corresponding entries in
another row/column. Then, det(B) = det(A).
6. Cramer's rule is not applicable if the system is homogeneous.
7. Integer Powers of a complex number can also be obtained by multiplying a complex
number in rectangular form by itself n times.
8. If a matrix is augmented, then any row operation performed to the augmented matrix
must include the entries augmented to the original one.
9. The difference between a complex number z and its conjugate is a pure imaginary
number.
10. If a complex number z is situated along the real x axis, then the complex conjugate of
our complex number z remains the same.
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