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Which one of the following equations is a correct identity for arbitrary 3 × 3 real matrices P, Q and R?

Which one of the following equations is a correct identity for arbitrary 3 × 3 real matrices P, Q and R? Correct Answer (P + Q)<sup>2</sup> = P<sup>2</sup> + PQ + QP + Q<sup>2</sup>

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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
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 ‘D’ can be represented by 40, 68 etc and ‘G’ can be represented by 77, 31 etc. Similarly, you have to identify the set for the word ‘BROKE’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 J O C T M 5 M V P S A 1 P E V H Y 6 F T K D I 2 B L Q F W 7 H R G W N 3 H G A X R 8 J Z U Q B 4 D S N U K 9 O C L E H
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 40, 04, 98 etc and ‘X’ can be represented by 23, 85 etc. Similarly, you have to identify the set for the word ‘FRIEND’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 E O T U A 5 G Q S K E 1 K W I C Z 6 Y V U D P 2 U M P X S 7 R M I Z T 3 P F Y D N 8 X T C N W 4 A R V Q K 9 O Z Q A F