This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Matrices”.
1. If the order of the matrix is m×n, then how many elements will there be in the matrix?
a) mn
b) m2 n2
c) mn2
d) 2mn
View Answer
Explanation: The number of elements for a matrix with the order m×n is equal to mn, where m is the number of rows and n is the number of columns in the matrix.
2. Which of the following is a matrix of the order 2×2 where the equation of the elements is given by aij=i+j.
a) A=\(\begin{bmatrix}1&1\\1&1\end{bmatrix}\)
b) A=\(\begin{bmatrix}4&5\\4&1\end{bmatrix}\)
c) A=\(\begin{bmatrix}2&3\\3&4\end{bmatrix}\)
d) A=\(\begin{bmatrix}1&2\\1&2\end{bmatrix}\)
View Answer
Explanation: a11=1+1=2, a12=1+2=3, a21=2+1=3, a22=2+2=4
∴ A=\(\begin{bmatrix}a_{11}&a_{12}\\a_{21}&a_{22} \end{bmatrix}=\begin{bmatrix}2&3\\3&4\end{bmatrix}\).
3. What is the order of the matrix A=\(\begin{bmatrix}3&5\\7&9\end{bmatrix}\)?
a) 2×3
b) 2×2
c) 3×3
d) 4×4
View Answer
Explanation: The number of rows (m) and the number of columns (n) in the given matrix A=\(\begin{bmatrix}3&5\\7&9\end{bmatrix}\) is 2. Therefore, the order of the matrix is 2×2(m×n).
4. The order of the matrix A=\(\begin{bmatrix}1&5&9\\4&8&6\end{bmatrix}\) is 2×3.
a) True
b) False
View Answer
Explanation: The given statement is false. In the matrix A=\(\begin{bmatrix}1&5&9\\4&8&6\end{bmatrix}\) the number of rows(m) is 3 and the number of columns(n) is 2. Therefore, the order of the matrix is 3×2.
5. In a matrix with 9 elements, then the possible ordered pairs are (3, 3), (1, 9), (9, 1).
a) True
b) False
View Answer
Explanation: The given statement is true. The possible orders in which the matrix can be formed are 3×3,9×1,1×9. Therefore, the ordered pairs are (3,3),(1,9),(9,1).
6. Which of the following is not a possible ordered pair for a matrix with 6 elements.
a) (2,3)
b) (3,2)
c) (1,6)
d) (3,1)
View Answer
Explanation: The possible orders in which the matrix with 6 elements can be formed are 2×3, 3×2, 1×6, 6×1. Therefore, the possible orders pairs are (2,3), (3,2), (1,6), (6,1). Thus, (3,1) is not possible.
7. Which of the following matrix is of the order 3×4.
a) A=\(\begin{bmatrix}3&4\\3&5\\4&5\end{bmatrix}\)
b) A=\(\begin{bmatrix}1&2&3\\5&7&9\end{bmatrix}\)
c) A=\(\begin{bmatrix}4&5&6 \\5&2&6\\6&4&7\\7&7&1\end{bmatrix}\)
d) A=\(\begin{bmatrix}1\\4\\6\end{bmatrix}\)
View Answer
Explanation: The matrix A=\(\begin{bmatrix}4&5&6\\5&2&6\\6&4&7\\7&7&1\end{bmatrix}\) is a 3×4 matrix as it as 3 rows and 4 columns.
8. Consider the matrix A=\(\begin{bmatrix}2&4&5\\1&6&4\\2&8&9\end{bmatrix}\). Find the element a32.
a) 5
b) 6
c) 4
d) 8
View Answer
Explanation: a32 is the element represented in the form aij i is the row number and j is the column number. Therefore, the element a32 is the element in the third row (i=3)and second column (j=2) which is 8.
9. What is the order of the matrix A=\(\begin{bmatrix}2&3\\1&9\\5&2\end{bmatrix}\)?
a) 2×3
b) 3×2
c) 2×2
d) 3×3
View Answer
Explanation: The given matrix A=\(\begin{bmatrix}2&3\\1&9\\5&2\end{bmatrix}\) has 3 rows and 2 columns. Therefore, the order of the matrix is 3×2.
10. Given a matrix A=\(\begin{bmatrix}2&3&9\\3&9&6\\1&6&7\end{bmatrix}\), which of the elements aij follows the condition i=j.
a) 9, 9, 1
b) 2, 9, 7
c) 2, 3, 9
d) 2, 3, 1
View Answer
Explanation: The elements following the condition i=j will have the same row number and column number. The elements are a11, a22, a33 which in the matrix A are 2, 3, 9 respectively.
Sanfoundry Global Education & Learning Series – Mathematics – Class 12.
To practice all areas of Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.
Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!
