Question

For the correlation matrix of a 4-band satellite image as shown below, which of the following statements is/are correct?
 

	Band 1	Band 2	Band 3	Band 4
Band 1	1	0.95	0.36	0.92
Band 2	0.95	1	0.40	0.93
Band 3	0.36	0.40	1	0.42
Band 4	0.92	0.93	0.42	1

• A. Band 3 provides some unique information not found in other bands
• B. There is high redundancy in band 2 and 4
• C. The standard deviation of all the bands is equal
• D. Image cannot be classified using bands 1 and 3 only

Hint:

A low correlation value (closer to 0) indicates unique information in that band, while values near 1 indicate redundancy.

Answer 1

The Correct Option is A, B

Correlation values close to 1 imply high redundancy (high similarity).

Band 2 and Band 4 have a high correlation of 0.93, indicating redundancy.
Band 3 has relatively low correlation with all other bands (0.36 with Band 1, 0.40 with Band 2, 0.42 with Band 4), meaning it contains information not highly correlated with others—i.e., more unique.
Standard deviation equality cannot be inferred from a correlation matrix alone (only relationships between bands, not individual variances).
While bands 1 and 3 may still be sufficient depending on the classifier, the statement in (D) is not definitively supported by the data.

Final Answer: \(\fbox{(A), (B)}\)