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Let the eigen values of a 2 × 2 matrix A be 1, -2 with eigen vectors x1 and x2 respectively. Then the eigen values and eigen vectors of the matrix A2 - 3A + 4$$I$$ would, respectively, be
A 3 × 3 matrix has elements such that its trace is 11 and its determinant is 36. The eigen values of the matrix are all known to be positive integers. The largest eigen value of the matrix is
Consider the following pattern of numbers: \(\dfrac{\begin{matrix} 8 \\\ 6 \ \\\ 4 \ \end{matrix}}{ \ 6} \ \ \dfrac{\begin{matrix} 10 \\\ 5 \ \\\ 6 \ \end{matrix}}{ \ 11} \ \ \dfrac{\begin{matrix} 15 \\\ 7 \ \\\ 8 \ \end{matrix}}{ \ 16} \ \ \dfrac{\begin{matrix} 13 \\\ 4 \ \\\ 8 \ \end{matrix}}{ \ ?}\) What is the number at ? in the above pattern?
Consider the system of equations A(n × n) X(n × 1) = λ(n × 1) where, λ is a scalar. Let (λi, xi) be an eigen-pair of an eigen value and its corresponding eigen vector for real matrix A. Let $$I$$ be a(n × n) unit matrix. Which one of the following statement is NOT correct?
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of number given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘I’ can be represented by 41, 87, etc., and ‘N’ can be represented by 04, 87, etc. Similarly, you have to identify the set for the word “TRACE”. Matrix I   0 1 2 3 4 0 F E K O N 1 P M A C T 2 Z G W I Q 3 D F A L R 4 O I S P X Matrix II   5 6 7 8 9 5 M E Z S T 6 Z K F C Z 7 L Q Z Y D 8 A E I R N 9 Q Z T Y I
A word is represented by only a set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered alternatively and represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘C’ can be represented by 42, 56 etc and ‘P’ can be represented by 03, 65 etc. Similarly, you have to identify the set for the word ‘THRONE’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 H D U P F 5 J C N R G 1 O S K X I 6 P V T X L 2 R E W A Z 7 E Y W A O 3 B T Q Y N 8 K H Q U I 4 J L C V G 9 B S F M D
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘A’ can be represented by 10, 75 etc and ‘B’ can be represented by 44, 79 etc. Similarly, you have to identify the set for the word ‘FOLDER’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 H L F M I 5 E I C J G 1 A U W S E 6 P R U S K 2 R Y C Z O 7 A W O D B 3 K T X V J 8 O T V Q L 4 D Q G P B 9 H N D M F
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘T’ can be represented by 02, 98 etc and ‘E’ can be represented by 12, 59, 97 etc. Similarly, you have to identify the set for the word ‘FAMILY’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 I M T K G 5 O C M R E 1 O R E Z X 6 J S F W Y 2 A G W U N 7 P I V N G 3 Q S L A H 8 L U B K W 4 J F V P B 9 H Q E T D
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘K’ can be represented by 43, 89 etc and ‘F’ can be represented by 14, 78 etc. Similarly, you have to identify the set for the word ‘SAMPLE’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 D L H O A 5 E P V J C 1 E B R L F 6 M T W R S 2 V Q W S J 7 A H O F R 3 G A P D M 8 Q R L A K 4 S N I K C 9 G B I N D
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘Q’ can be represented by 01, 69 etc and ‘W’ can be represented by 33, 77 etc. Similarly, you have to identify the set for the word ‘MODERN’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 B Q M I E 5 E K G M B 1 F V T Y G 6 I P T N Q 2 L X J A P 7 S A W V F 3 S H Z W K 8 M U R S J 4 C O U R D 9 D O L H C