Question

find the value m2 - 2m+ 3 if m= -1​

Answer 1

Answer:

Given, M=[

1

2

2

3

]

M

2

=M⋅M

=[

1

2

2

3

][

1

2

2

3

]

=[

1×1+2×2

2×1+3×2

1×2+2×3

2×2+3×3

]

=[

1+4

2+6

2+6

4+9

]=[

5

8

8

13

]

Now, M

2

−kM−I

2

=0

⇒M

2

−I

2

=kM

⇒[

5

8

8

13

]−[

1

0

0

1

]=k[

1

2

2

3

]

⇒[

4

8

8

12

]=k[

1

2

2

3

]

⇒4[

1

2

2

3

]=k[

1

2

2

3

]

On comparing both sides, we get

⇒k=4.

Video Explanation

Solution To Question ID 595439

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SIMILAR QUESTIONS

star-struck

If [

1

0

1

1

][

1

0

Answer 2

Answer:

m2 - 2m + 3

= (-1)×2 - 2×(-1) + 3

= -2 + 2 + 3

= 3

HOPE IT HELPS YOU MATE