Question

The vectors X1, X 2 , X3 are said to be linearly
dependent if rank of the matrix formed by the
given vector is​

Answer 1

ʏᴏᴜ ᴄᴀɴ ᴛᴀᴋᴇ ᴛʜᴇ ᴠᴇᴄᴛᴏʀꜱ ᴛᴏ ꜰᴏʀᴍ ᴀ ᴍᴀᴛʀɪx ᴀɴᴅ ᴄʜᴇᴄᴋ ɪᴛꜱ ᴅᴇᴛᴇʀᴍɪɴᴀɴᴛ. ɪꜰ ᴛʜᴇ ᴅᴇᴛᴇʀᴍɪɴᴀɴᴛ ɪꜱ ɴᴏɴ ᴢᴇʀᴏ, ᴛʜᴇɴ ᴛʜᴇ ᴠᴇᴄᴛᴏʀꜱ ᴀʀᴇ ʟɪɴᴇᴀʀʟʏ ɪɴᴅᴇᴘᴇɴᴅᴇɴᴛ. ᴏᴛʜᴇʀᴡɪꜱᴇ, ᴛʜᴇʏ ᴀʀᴇ ʟɪɴᴇᴀʀʟʏ ᴅᴇᴘᴇɴᴅᴇɴᴛ.

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