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Given A = [-360-9] and At is its transpose matrix. Find 2A + 3At - Mathematics

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प्रश्न

Given A = `[(-3, 6),(0, -9)]` and At is its transpose matrix. Find 2A + 3At 

योग

उत्तर

A = `[(-3, 6),(0, -9)]`

At = `[(-3, 0),(6, -9)]`

2A + 3At = `2[(-3, 6),(0, -9)] + 3[(-3, 0),(6, -9)]`

= `[(-6,12),(0, -18)] + [(-9, 0),(18, -27)]`

= `[(-6 - 9, 12 + 0),(0 + 18, -18 - 27)]`

= `[(-15, 12),(18, -45)]`

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अध्याय 9: Matrices - Exercise 9 (B) [पृष्ठ १२२]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 9 Matrices
Exercise 9 (B) | Q 7.1 | पृष्ठ १२२

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